Warm Up

1. At least 6

glasses

2. Below 40°

3. At most $40.

a. x

b. x

c. x

Match each inequality to one of the statements.

Inequalities

Example 1:

Notice the open hole at the 5. This is because the inequality is greater than 5 but does not include 5. If it included 5, the hole would be filled in.

Example 2: You try!

• Write the inequality for this number line.

Example 2 Solution

𝑥≤−1Now it is less than/equal to because the dot is filled in.

Solving Inequalities

• To solve an inequality, pretend the inequality sign is an = sign.

• The only difference is if you multiply OR divide by a negative number, you reverse the inequality symbol.

Example 3

• Solve the inequality.

Solution to Example 3

• Original• Subtract 8 from both sides -8 -8

• Divide both sides by -.25 -.25 -.25

• We have to reverse the inequality since we divided by a

negative

You try!

• Solve for x

Solution

• original -4.1 -4.1 Subtract 4.1 from both sides

3.2 3.2 Divide by 3.2

• Simplify for final answer

• The inequality does not switch because we did not divide by a negative.

Example 4

• Fill in the box with an equality:

• Answer:

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Homework

• Worksheet 5.5• 1 a-d, 3 a,b,c, 4 a,b, 5 a-d