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Popular >

|4(x-1)+2|<= 26

Solution

∣ 4 (x - 1) + 2 ∣ \leq 26

Solution

- 6 \leq x \leq 7

+1

Interval Notation

[- 6, 7]

Solution steps

∣ 4 (x - 1) + 2 ∣ \leq 26

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 26 \leq 4 (x - 1) + 2 \leq 26

4 (x - 1) + 2 \geq - 26 and 4 (x - 1) + 2 \leq 26

x \geq - 6 and x \leq 7

Merge Overlapping Intervals

- 6 \leq x \leq 7

Popular Examples

5 ∣ x + 2 ∣ > 25

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-2.3(x-1.2)=-9.66

- 2.3 (x - 1.2) = - 9.66

Frequently Asked Questions (FAQ)

What is |4(x-1)+2|<= 26 ?
The solution to |4(x-1)+2|<= 26 is -6<= x<= 7