Hi!
<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>
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|2x - 3| > 7
Since the absolute value is isolated, we can now solve.
First, remove absolute value signs, then solve for x.
2x - 3 > 7
2x > 10
x > 5
Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:
2x - 3 < -7
2x < -4
x < -2
Now, as stated above, since it's a greater than symbol it means OR.
<u><em>x > 5 OR x < -2</em></u>
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<u><em>For more information on solving absolute value inequalities:</em></u>
brainly.com/question/14473339
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12/4 = 3 + 2x 1/2
Divide and then multiply and your answer will be 4
Answer:
x = -9
Step-by-step explanation:
First, divide both sides by 12 to isolate the expression, x + 11
12(x + 11)/12 = 24/12
x + 11 = 2
Then, subtract 11 from both sides
x + 11 = 2
- 11 - 11
x = -9
Three hundred and nine thousand and seventeen
