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Popular >

4+3|4-x|<= 25

Solution

4 + 3 ∣ 4 - x ∣ \leq 25

Solution

- 3 \leq x \leq 11

+1

Interval Notation

[- 3, 11]

Solution steps

4 + 3 ∣ 4 - x ∣ \leq 25

Move

4

to the right side

3 ∣ 4 - x ∣ \leq 21

Divide both sides by

3

∣ 4 - x ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq 4 - x \leq 7

4 - x \geq - 7 and 4 - x \leq 7

x \leq 11 and x \geq - 3

Merge Overlapping Intervals

- 3 \leq x \leq 11

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\frac{4}{3} - 4

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7 x^{2} - 63

simplify 4/15+3/10 simplify

\frac{4}{15} + \frac{3}{10}

Frequently Asked Questions (FAQ)

What is 4+3|4-x|<= 25 ?
The solution to 4+3|4-x|<= 25 is -3<= x<= 11