Question

Choose the missing step in the given solution to the inequality −x − 3 < 13 + 3x.

−x − 3 < 13 + 3x

_______________

−4x < 16

x > −4

−4x − 3 > 13
2x − 3 < 18
−4x − 3 < 13
2x − 3 > 18

Answer 1

-x - 3 < 3x + 13
+ x + x
-3 < 4x + 13
- 13 - 13
-16 < 4x
4 4
-4 < x
x > -4

The answer is C.

Answer 2

Missing step in the given solution to the inequality −x − 3 < 13 + 3x is:

-4x-3< 13

Explanation:

−x − 3 < 13 + 3x

subtracting by 3x on both sides, we get

-x-3x-3<13+3x-3x

⇒ -4x-3<13

Adding 3 on both sides, we get

-4x-3+3<13+3

⇒ -4x<16

Hence, missing step in the given solution to the inequality −x − 3 < 13 + 3x is:

-4x-3< 13