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Please help write two different multi step inequalities who solutions are represented by the graph

Please help write two different multi step inequalities who solutions are represented-example-1
User Jake Bellacera
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1 Answer

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10 votes

ANSWER

2x - 5 < x - 6

2x + 7 > 4x + 9

Step-by-step explanation

Let the unknown variable be x.

The solution to the number line given is:

x < -1

We want to write two multi-step inequalities that will have that solution.

Multi-step inequality simply means an inequality whose solution requires various steps.

Let us form them now.

FIRST ONE

2x - 5 < x - 6

To solve it

Step 1: Collect like terms

2x - x < 5 - 6

Step 2: Simplify

x < -1

It has been solved.

SECOND ONE

2x + 7 > 4x + 9

To solve it:

Step 1: Collect like terms

2x - 4x > 9 - 7

Step 2: Simplify

-2x > 2

Step 3: Divide through by -2 (the sign changes)

x < -1

It has been solved.

User JaredPar
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