Question

Which number line shows the solution to the inequality −2(3x − 1) < 8? Group of answer choices Open circle at 2 and shading to the right Open circle at 2 and shading to the left Open circle at -1 and shading to the right Open circle at -1 and shading to the left

Answer 1

Open circle at -1 and shading to the left

Explanation:

Given the question :

Which number line shows the solution to the inequality −2(3x − 1) < 8? Group of answer choices Open circle at 2 and shading to the right Open circle at 2 and shading to the left Open circle at -1 and shading to the right Open circle at -1 and shading to the left.

−2(3x − 1) < 8

Open the bracket and simplify :

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 8 - 2

-6x < 6

Divide both sides by - 6

-6x/-6 < 6/-6

x > - 1

Or - 1 < x

Since - 1 is less than x, from - 1 we draw to the left