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Popular >

|4x-2|<= 10

Solution

∣ 4 x - 2 ∣ \leq 10

Solution

- 2 \leq x \leq 3

+1

Interval Notation

[- 2, 3]

Solution steps

∣ 4 x - 2 ∣ \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq 4 x - 2 \leq 10

4 x - 2 \geq - 10 and 4 x - 2 \leq 10

x \geq - 2 and x \leq 3

Merge Overlapping Intervals

- 2 \leq x \leq 3

Popular Examples

3 < x + 2 < 9

simplify (2n^{1/3}(3n^{1/3}-4n^{4/3}))/(2n^{-1/3)}simplify

\frac{2 n ^{\frac{1}{3}} ( 3 n ^{\frac{1}{3}} - 4 n ^{\frac{4}{3}} )}{2 n ^{- \frac{1}{3}}}

simplify-1(-4)simplify

- 1 (- 4)

-2(6x-3)^2-12=-48

- 2 (6 x - 3)^{2} - 12 = - 48

factor 42z^2-zy-y^2 factor

42 z^{2} - zy - y^{2}

Frequently Asked Questions (FAQ)

What is |4x-2|<= 10 ?
The solution to |4x-2|<= 10 is -2<= x<= 3