Four less than a number equals seven.

ExerciseExerciseWrite an equation or inequality for the following sentence.

Write an equation or inequality for the following sentence.

Four less a number equals seven.

ExerciseExerciseWrite an equation or inequality for the following sentence.

Write an equation or inequality for the following sentence.

Four is less than a number plus seven.

ExerciseExerciseWrite an equation or inequality for the following sentence.

Write an equation or inequality for the following sentence.

Four more than a number is greater than or equal to six.

ExerciseExerciseWrite an equation or inequality for the following sentence.

Write an equation or inequality for the following sentence.

Six greater than a number is more than 4.

ExerciseExerciseWrite an equation or inequality for the following sentence.

Write an equation or inequality for the following sentence.

more thanmore than

less thanless than

at leastat least

at mostat most

no more than

not more than

no less than

not less than

everything except

everything except

Five more than a number is at most sixteen.

Write an inequality for the following.Write an inequality for the following.

Example 1Example 1

Janice has three times as many nickels as Tom. Janice has fewer than 24 nickels.

Write an inequality for the following.Write an inequality for the following.

Example 1Example 1

Elisa knows that she has at least $120 in her savings account. She wants her savings split into three categories with equal amounts in each category. What is the least amount that she has available to spend in each category?

Elisa knows that she has at least $120 in her savings account. She wants her savings split into three categories with equal amounts in each category. What is the least amount that she has available to spend in each category?

Example 2Example 2

3x ≥ 120

x = the amount in each category

x ≥ 40

3x3

3x3

1203

1203

≥≥

Example 2Example 2

Mr. Haney has taken a job where he earns $2,570 per month. He tithes 10% of his income. How long will it take him to earn more than $23,000, excluding his tithe? Round your answer to the next full month.

Mr. Haney has taken a job where he earns $2,570 per month. He tithes 10% of his income. How long will it take him to earn more than $23,000, excluding his tithe? Round your answer to the next full month.

Example 3Example 3

2,313m > 23,000m = the number of months

m > 9.9; He must work 10 months.

2,313m 2,313

2,313m 2,313

23,0002,313

23,0002,313

>>

Example 3Example 3

A car buyer wants to finance a car for 24 months and keep his monthly payments less than $300. He has $1,500 available for a down payment. Will he be able to buy an $8,988 car and meet his goal?

A car buyer wants to finance a car for 24 months and keep his monthly payments less than $300. He has $1,500 available for a down payment. Will he be able to buy an $8,988 car and meet his goal?

Example 4Example 4

1,500 + 24m ≥ 8,988m = the monthly payment

m ≥ $3122424 2424

− 1,500 − 1,500− 1,500 − 1,500

≥≥24m 24m 7,4887,4880

Example 4Example 4

A will contains the provision that the estate, worth $64,892, be divided equally among six relatives. However, at least $12,500 is to be held in trust for a missing son for up to one year.

A will contains the provision that the estate, worth $64,892, be divided equally among six relatives. However, at least $12,500 is to be held in trust for a missing son for up to one year.

Example 5Example 5

If he is not found within that time, the money will go to the deceased's favorite charity. How much will each of the six relatives get?

If he is not found within that time, the money will go to the deceased's favorite charity. How much will each of the six relatives get?

Example 5Example 5

64,892 − 6x ≥ 12,500x = the amount per relative

x ≤ 8,732

− 64,892 − 64,892− 64,892 − 64,892

00 − 52,392− 52,392−6x ≥ − 52,392−6−6 −6−6

Example 5Example 5

Write an equation or inequality and solve.Write an equation or inequality and solve.Mr. Acker wants to sell 250 watermelons and make at least $1,000. How much should he sell each of them for? 250x ≥ 1,000;

at least $4

ExampleExample

Write an equation or inequality and solve.Write an equation or inequality and solve.Mitch and Kevin have more than 475 baseball cards together. Kevin has four times as many as Mitch. How many cards does Mitch have?

x + 4x > 475;more than 95

ExampleExample

Write an equation or inequality and solve.Write an equation or inequality and solve.Jen has 8 fewer than Mary. Together they have more than 28. How many does Mary have?

x + x − 8 > 28;more than 18

ExampleExample

Write an equation or inequality and solve.Write an equation or inequality and solve.The three teams have over 100 points combined. The first team has three times as many as each of the other two. How many points do the second and third teams have? 3x + x + x > 100;

more than 20

ExampleExample

Write an equation or inequality and solve.Write an equation or inequality and solve.You can buy three shirts and one pair of shoes for less than $150. If the shoes cost $75, how much can you spend on each shirt?3x + 75 < 150; at most $25

ExampleExample

The adult ticket was twice the cost of the child ticket. Together they cost more than $19.50. What was the cost of the child ticket?

The adult ticket was twice the cost of the child ticket. Together they cost more than $19.50. What was the cost of the child ticket?

ExampleExample

The Averys have budgeted $500 for their weekend trip. If their six meals will cost an average of $28 each and gas will cost $120, what is the maximum they can spend on a hotel for each of two nights?

The Averys have budgeted $500 for their weekend trip. If their six meals will cost an average of $28 each and gas will cost $120, what is the maximum they can spend on a hotel for each of two nights?

ExampleExample

Caleb is mowing grass to earn at least $340 needed for a new mountain bike. How many yards will he need to mow at $25 each to pay for the bike if he already has $60?

Caleb is mowing grass to earn at least $340 needed for a new mountain bike. How many yards will he need to mow at $25 each to pay for the bike if he already has $60?

ExampleExample

Becca’s bill for school clothes was over $224. The jacket cost three times as much as the skirt. The three shirts were $21 each. Find the cost of the skirt and jacket.

Becca’s bill for school clothes was over $224. The jacket cost three times as much as the skirt. The three shirts were $21 each. Find the cost of the skirt and jacket.

ExampleExample

If Jake puts $150 in his savings account and adds $75 each week, how many weeks will it take him to save over $1,000?

If Jake puts $150 in his savings account and adds $75 each week, how many weeks will it take him to save over $1,000?

ExampleExample