Question

Which graph represents the solution to this inequality? -1/4(12x+8) <-2x+11 A. A straight line passing from minus 17 to minus 5. A ray with a red dot at point minus 9 and passes through minus 5 B. A straight line passing from minus 17 to minus 5. A ray with a red line starts at point minus 13 and passes through minus 17 C. A straight line passing from minus 17 to minus 5, A ray with a red dot at minus 13, and it passes through minus 5 D. A straight line passing from minus 17 to minus 5. A ray with a red dot at point minus 9 and passes through minus 17

Answer 1

The correct description is:

"A ray with a red dot at minus 13, and it passes through minus 5"

Which graph represents the inequality?

Here we have the inequality:

(-1/4)*(12x + 8) < -2x + 11

First, we need to solve it for x, we can do it by isolating x.

(-1/4)*(12x + 8) < -2x + 11

-3x - 2 < -2x + 11

-2 - 11 < -2x + 3x

-13 < x

Then the solution set is the set of all numbers larger than -13. The graph of this will be an open dot at the number -13, and an arrow that goes to the right along the number line.

So the correct option is:

A ray with a red dot at minus 13, and it passes through minus 5 (notice that -5 is at the right of -13).

If you want to learn more about inequalities:

https://brainly.com/question/18881247

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