If 2x + 7 is greater than 3x – 5, which of the following best describes the possible values of x? x must be greater than 12 x must be greater than –12 x must be less than 14 x must be less than 12 None of these
Question
If 2x + 7 is greater than 3x – 5, which of the following best describes the possible values of x?
x must be greater than 12
x must be greater than –12
x must be less than 14
x must be less than 12
None of these
Solution
To solve this inequality, we need to isolate x. Here are the steps:
- Start with the original inequality: 2x + 7 > 3x - 5
- Subtract 2x from both sides: 7 > x - 5
- Add 5 to both sides: 12 > x
So, the solution to the inequality is x must be less than 12.
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9x - 14 < 5x + 2 < 3x + 12
Which inequality represents all possible values for x in –2x > –48?
Solve for xx and graph the solution on the number line below.minus, 13, is greater than, 2, x, minus, 5, or, 2, x, minus, 5, is greater than or equal to, 17−13>2x−5or2x−5≥17
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