Question

Solve. Show your work.

Answer 1

Answer:

x < -3

Step-by-step explanation:

Isolate the x. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 6 from both sides.

4x + 6 (-6) < -6 (-6)

4x < -6 - 6

4x < -12

Next, divide 4 from both sides.

(4x)/4 < (-12)/4

x < -12/4

x < -3

x < -3 is your answer.

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Answer 2

Answer:

x < -3     ( -∞, -3)

Step-by-step explanation:

4x + 6 < -6

  4x < -12      (subtract 6 from both sides to isolate the x term)

     x < -3       (divide by 4 on both sides to isolate x)

This means any value less than -3 will satisfy the inequality

  ( -∞, -3)   is the expression x < -3 in interval notation.  I don't know if that's necessary or not but i included for you anyway