Mathematics: Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3

this plus that equals thisStep-by-step explanation:...

Which graph below represents the solution to the

Ответ:

maggiemae3645

13.02.2022

The solution is:

$6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}$

The graph of the solution is attached below.

Both the number line and graph is attached below.

Step-by-step explanation:

Note: you missed to add the graph options. Therefore, I am solving the inequality and adding the corresponding graph which would anyways clear your concept.

Given the inequality expression

$6\:x\:-\:12\:-\:x\:\le \:3$

Group like terms

$6x-x-12\le \:3$

Add similar elements: 6x-x=5x

$5x-12\le \:3$

Add 12 to both sides

$5x-12+12\le \:3+12$

simplify

$5x\le \:15$

Divide both sides by 5

$\frac{5x}{5}\le \frac{15}{5}$

simplify

$x\le \:3$

Therefore, the solution is:

$6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}$

The graph of the solution is attached below.

Both the number line and graph is attached below.

Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3

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Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3

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