Question

25.) Select ALL of the numbers that are a solution set to the inequality.Graph the solution and select all the numbers that belongs to the shaded region.5 – 4x < 17-5-4-3-2-1

Answer 1

Let us first solve the inequality and then answer our questions.

The first step in solving the inequality is to subtract 5 from both sides to get:

`-4x\leq12`

Dividing both sides by -4 reverses the sign of the inequality and gives us

`x\ge-3`

Hence, the solutions to the inequality are all values greater than or equal to -3.

The correct solutions to choose, therefore, are -3, -2, and -1.

And the graph of the inequality is given below.