Question
1/4x+13>0.25(2x-32)
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Answer to a math question 1/4x+13>0.25(2x-32)
Esmeralda
4.7102 Answers
Solution:
1. Given inequality:
\frac{1}{4}x + 13 > 0.25(2x - 32)
2. Simplify the right side:
* Convert 0.25 to a fraction:0.25 = \frac{1}{4}
* Distribute:
\frac{1}{4}(2x - 32) = \frac{1}{4} \cdot 2x - \frac{1}{4} \cdot 32 = \frac{1}{2}x - 8
3. Rewrite the inequality:
\frac{1}{4}x + 13 > \frac{1}{2}x - 8
4. Eliminate fractions by multiplying all terms by 4:
x + 52 > 2x - 32
5. Rearrange terms:
* Subtractx
52 > x - 32
* Add 32 to both sides:
84 > x
6. The solution to the inequality is:
x < 84
1. Given inequality:
2. Simplify the right side:
* Convert 0.25 to a fraction:
* Distribute:
3. Rewrite the inequality:
4. Eliminate fractions by multiplying all terms by 4:
5. Rearrange terms:
* Subtract
* Add 32 to both sides:
6. The solution to the inequality is:
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