Question

What value of x is in the solution set of 8x – 6 > 12 + 2x? –1 0 3 5

Answer 1

Isolate the x.

8x - 6 > 12 + 2x

Add 6 to both sides, and subtract 2x from both sides

8x (-2x) - 6 (+6) > 12 (+6) + 2x (-2x)

8x - 2x > 12 + 6

Simplify. Combine like terms

8x - 2x > 12 + 6

6x > 18

Isolate the x. Divide 6 from both sides

6x/6 > 18/6

x > 18/6

x > 3

Any number that is greater than 3 (3 not included), is your answer.

5 is your answer

hope this helps

Answer 2

$8x-6 > 12+2x\ \ \ \ |+6\\\\8x > 18+2x\ \ \ \ |-2x\\\\6x > 18\ \ \ \ |:6\\\\\boxed{x > 3}\\\\Answer:\ \boxed{5} > 3$