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.minus, 66, plus, 6, x, is greater than, minus, 42−66+6x>−42
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).
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