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Popular >

|4(x-1)+2|<= 18

Solution

∣ 4 (x - 1) + 2 ∣ \leq 18

Solution

- 4 \leq x \leq 5

+1

Interval Notation

[- 4, 5]

Solution steps

∣ 4 (x - 1) + 2 ∣ \leq 18

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 18 \leq 4 (x - 1) + 2 \leq 18

4 (x - 1) + 2 \geq - 18 and 4 (x - 1) + 2 \leq 18

x \geq - 4 and x \leq 5

Merge Overlapping Intervals

- 4 \leq x \leq 5

Popular Examples

simplify 7/3+1/3 simplify

\frac{7}{3} + \frac{1}{3}

2.2h+0.4<= 2(1.1h-0.1)

2.2 h + 0.4 \leq 2 (1.1 h - 0.1)

7(8x+4)=3(3x+7)+195

7 (8 x + 4) = 3 (3 x + 7) + 195

factor x^4+13x^2+36 factor

x^{4} + 13 x^{2} + 36

9-5(x+7)+2x<4-2(8-5x)

9 - 5 (x + 7) + 2 x < 4 - 2 (8 - 5 x)

Frequently Asked Questions (FAQ)

What is |4(x-1)+2|<= 18 ?
The solution to |4(x-1)+2|<= 18 is -4<= x<= 5