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

Answer:

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

-4x-3< 13

Step-by-step 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