Question

Choose the correct description of the graph of the compound inequality x - 3 less than or equal to 5

A- open circle on 8, shading to left
B- closed circle on 8, shading to left
C- open circle on 8, shading to right
D- closer circle on 8, shading to right

Answer 1

x - 3 < = 5
x < = 5 + 3
x < = 8

closed circle on 8 (it is closed because there is an equal sign in the problem)...and since it is less then, it will be shaded to the left.

Answer 2

B- closed circle on 8, shading to left.

Explanation:

We have been given an inequality
`x-3\leq 5`. We are asked to choose the correct description of the graph of the compound inequality.

Let us solve for x.

`x-3+3\leq 5+3`

`x\leq 8`

Since we have been given a less than or equal to sign, so we will have a solid dot at
`x=8`.

Since the solutions for our given inequality are less than and equal to 8, so we will shade in all values of x that are to the left of 8.

Therefore, option B is the correct choice.