Question

Which of the following are solutions to the inequality -7x+14>-3x-6? select all that apply

A.-10
B.10
C.-5
D.5
E.-3
F.3
G.0

Answer 1

A, C, E, F, G

Explanation:

let's actually solve the inequality -7x+14>-3x-6:

Adding 7x to both sides simplifies the inequality to 14> 4x-6.

Adding 6 to both sides isolates 4x: 20 > 4x.

Finally, dividing both sides by 4 yields 5 > x, or x < 5.

We must now determine which of the possible solutions A-G are less than 5:

A, C, E, F, G