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Solve the inequality and graph the solution on the line provided.minus, 66, plus, 6, x, is greater than, minus, 42−66+6x>−42

Question

Solve the inequality and graph the solution on the line provided.

Inequality:

66+6x>42 -66 + 6x > -42

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Solution

Step 1: Simplify the inequality

The inequality is -66 + 6x > -42.

Step 2: Isolate the variable

To isolate x, you first add 66 to both sides of the inequality to cancel out -66 on the left side:

-66 + 6x + 66 > -42 + 66

This simplifies to:

6x > 24

Then, you divide both sides by 6 to solve for x:

6x / 6 > 24 / 6

This simplifies to:

x > 4

Step 3: Graph the solution

To graph x > 4, you draw a number line, put a circle at 4 (because 4 is not included in the solution), and shade to the right of 4 (because x is greater than 4).

This problem has been solved

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