Question

12x + 7 < -11
OR
5.2 – 8 > 40

Answer 1

x < - 3/2 or x > 48/5 (option a in your list of answers)

Explanation:

We solve for x in each inequality:

12 x + 7 < -11

subtract 7 from both sides:

12 x < - 11 - 7

12 x < -18

divide both sides by 12 to isolate "x" on the left:

x < - 18 / 12

simplify a common factor 6 in numerator and denominator on the right:

x < - 3 / 2

Now the other inequality:

5 x - 8 > 40

add 8 to both sides:

5 x > 40 + 8

5 x > 48

divide both sides by 5:

x > 48 / 5

So the answer is:

x < - 3/2 or x > 48/5

which coincides with answer a) in your list.