Mr Musgrove, March 2012

Starter thought:Find a range of values for x that when multiplied by 2 are smaller than twenty? (Write you answer as an inequality)...... Greater than or equal to four

Greater than two

An inequality is a relation that holds between two values when they are different.

i.e. is greater than or equal to 6 is written

Task 1.Write the notation for and represent graphically on the number line the following three statements:

1) is greater than three

2) is greater than negative two

3) is less than five

4) is greater than 3 but less than ten

EXTENSION: Less than negative two and greater than positive two

The ‘Learning objectives’ Level D – solve normal equations [e.g. 3x+4 = 5 + x ]Level C – solve equations with inequalities and represent them on the number lineLevel B – representing inequalities with two variables graphically

FRONT

Mr Musgrove, March 2012

Task 2.

1) Solve the inequality and show it graphically on the number line.

Hence what is the smallest integer (whole number) that satisfies this inequality?

2) Solve the inequality and show it graphically on the number line.

Hence what is the largest integer (whole number) that satisfies this inequality?

3) Solve the inequality and show it graphically on the number line.

Hence what is the smallest integer (whole number) that satisfies this inequality?

The ‘Learning objectives’ Level D – solve normal equations [e.g. 3x+4 = 5 + x ]Level C – solve equations with inequalities and represent them on the number lineLevel B – representing inequalities with two variables graphically

One step back....How do we solve equations without inequalities?

If this was an inequality problem...

...and two forward.

EXTENSION:James is saving for a chocolate dispensing board pen that costs £99.He has £20 at the moment. Write an inequality and solve it to find the minimum amount of pounds he must save every month for the next five months to have enough money at the end to buy it.