Question

Solve each inequality. Graph and check the solution.

1. -4x > -16 _________________

2. - y/2 < 6 ________________

3. -5a < -20 _____________

4. -b/2 > -1 __________________

5. -4b < 24 _____________________

6. -7c < -14 _________________________

7. -d/3 > -9 _______________________

Answer 1

1. -4x > -16...divide by -4 and change inequality sign
x < -16/-4
x < 4

2. -y/2 < 6 ...multiply both sides by 2
-y < 12 ...multiply both sides by -1 and change inequality sign
y > -12

3. -5a < -20....divide both sides by -5 and change inequality sign
a > -20/-5
a > 4

4. -b/2 > -1....multiply both sides by 2
-b > -2...multiply both sides by -1 and change inequality sign
b < 2

5. -4b < 24....divide both sides by -4 and change inequality sign
b > -24/4
b > - 6

6. -7c < -14....divide both sides by -7 and change inequality sign
c > -14/-7
c > 2

7. -d/3 > -9...multiply both sides by 3
-d > -27...multiply both sides by -1 and change inequality sign
d < 27