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Popular >

|4(x-1)+6|<= 22

Solution

∣ 4 (x - 1) + 6 ∣ \leq 22

Solution

- 6 \leq x \leq 5

+1

Interval Notation

[- 6, 5]

Solution steps

∣ 4 (x - 1) + 6 ∣ \leq 22

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 22 \leq 4 (x - 1) + 6 \leq 22

4 (x - 1) + 6 \geq - 22 and 4 (x - 1) + 6 \leq 22

x \geq - 6 and x \leq 5

Merge Overlapping Intervals

- 6 \leq x \leq 5

Popular Examples

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\frac{1}{6} (2 x^{4} + 3 x^{3} - 16 x - 24)^{2}

Frequently Asked Questions (FAQ)

What is |4(x-1)+6|<= 22 ?
The solution to |4(x-1)+6|<= 22 is -6<= x<= 5