Question

Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity

Answer 1

The correct option is B.

Explanation:

The inequality is: -2(3x - 1) < 8.

Solve for x as follows:

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 6

-x < 1

x > -1

The solution for x is in the interval (-1, ∞].

The number line will be:

B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity