Answer:
3x + 5 > 20
-2x + 8 < -2
Step-by-step explanation:
Start with
x > 5
Now we will do several legal operations to both sides of the inequality to come up with two equivalent inequalities.
x > 5
Multiply both sides by 3:
3x > 15
Add 5 to both sides:
3x + 5 > 20 First inequality
Start again with
x > 5
Multiply both sides by -2. Remember to change the direction of the inequality sign.
-2x < -10
Add 8 to both sides.
-2x + 8 < -2 Second inequality
The two equivalent inequalities are:
3x + 5 > 20
-2x + 8 < -2
These inequalities are equivalent inequalities because both of them have the same solution, x > 5.
