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The model represents an inequality. what is the solution set for the inequality?

The model represents an inequality. what is the solution set for the inequality?-example-1

1 Answer

6 votes

Answer:

Then the solution set is all the values of x equal to or larger than -3.

Explanation:

First, we know that each long strip represents an x.

Each white square represents 1.

Each grey square represents -1

Then, at the left side, we have:

8 long stripes.

12 white squares

Then we can write that as:

8*x + 12*1 ≥

And in the right side, we have 12 grey squares, then that is:

≥ 12*-1 = -12

Then the inequality is:

8*x + 12 ≥ -12

To find the solution set, we just need to isolate x.

First, we can subtract 12 in both sides to get:

8*x + 12 - 12 ≥ -12 - 12

8*x ≥ -24

Now we can divide both sides by 8

8*x/8 ≥ -24/8

x ≥ -3

Then the solution set is all the values of x equal to or larger than -3.

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