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