solve a two-step inequality example 1 3x – 7 < 8 write original inequality. 3x < 15 add 7 to...

Solve a two-step inequalityEXAMPLE 1

3x – 7 < 8 Write original inequality.

3x < 15 Add 7 to each side.

x < 5 Divide each side by 3.

ANSWER

The solutions are all real numbers less than 5. Check by substituting a number less than 5 in the original inequality.

3x – 7 < 8. Graph your solution.Solve

Solve a two-step inequality

EXAMPLE 1

CHECK

Write original inequality.

Solution checks.

Substitute 0 for x.3(0) – 7 < 8

3x –7 < 8

–7 < 8

Solve a multi-step inequalityEXAMPLE 2

Write original inequality.–0.6(x – 5) 15

–0.6x + 3 15 Distributive property

Subtract 3 from each side.

x –20 Divide each side by 0.6. Reverseinequality symbol.

–

Solve –0.6(x – 5) 15.

–0.6x 12

GUIDED PRACTICE for Examples 1 and 2

Solve the inequality. Graph your solution.

2x – 5 23.1. < –

x 14<–ANSWER

GUIDED PRACTICE for Examples 1 and 2

Solve the inequality. Graph your solution.

–6y + 5 –16.2. < –

y 3.5> –ANSWER

GUIDED PRACTICE for Examples 1 and 2

3. –14

( p –12) > –2

p < 20ANSWER

Solve the inequality. Graph your solution.