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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

Respuesta :

texaschic101
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:

B- closed circle on 8, shading to left.

Step-by-step explanation:

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

Let us solve for x.

[tex]x-3+3\leq 5+3[/tex]

[tex]x\leq 8[/tex]

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

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.

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