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Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-2x+9≤5x-12

Respuesta :

angelsmith380

Answer:

x>3

Step-by-step explanation

-2x+9≤5x-12

Step 1: Subtract 5x from both sides.

−2x+9−5x≤5x−12−5x

−7x+9≤−12

Step 2: Subtract 9 from both sides.

−7x+9−9≤−12−9

−7x≤−21

Step 3: Divide both sides by -7.

−7x−7≤−21−7

Answer:

x≥3

Ver imagen angelsmith380

The solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

According to the question

Solution set of inequality -2x+9≤5x-12.

-2x+9 ≤ 5x-12

-2x-5x ≤ -9-12

-7x ≤ -21

x ≥ 3  (sign changes as -ve sign eliminates )

Highlighted part in graph shows points

Hence, the solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .

To know more about inequality  here:

https://brainly.com/question/20383699

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