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

The correct option is B.

Step-by-step 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

Answer with explanation:

Equation of Parabola that opens Downward having vertex at (0,4) is given by:

It is also given that,  vertex of a second parabola is at (0, –4).

Also, it is given that Parabola Intersect at two points.

 So, the parabola must open upward to intersect at two points.

Equation of Parabola having vertex (0,-4) ,is given by:

It is not necessary that , point of intersection is on the x axis, the two parabolas can intersect anywhere.

Option B: The second parabola opens upward