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Popular >

|2x-1|<= 4

Solution

∣ 2 x - 1 ∣ \leq 4

Solution

- \frac{3}{2} \leq x \leq \frac{5}{2}

+2

Interval Notation

[- \frac{3}{2}, \frac{5}{2}]

Decimal Notation

- 1.5 \leq x \leq 2.5

Solution steps

∣ 2 x - 1 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq 2 x - 1 \leq 4

2 x - 1 \geq - 4 and 2 x - 1 \leq 4

x \geq - \frac{3}{2} and x \leq \frac{5}{2}

Merge Overlapping Intervals

- \frac{3}{2} \leq x \leq \frac{5}{2}

Popular Examples

simplify (1+sqrt(3i))^{1/3}simplify

(1 + 3 i)^{\frac{1}{3}}

simplify (3(0.999))/((0.999)-1)simplify

\frac{3 ( 0.999 )}{( 0.999 ) - 1}

\frac{p}{2} + 36 \geq 37

simplify (5^4)/(5^4)simplify

\frac{5 ^{4}}{5 ^{4}}

∣ x - 30 ∣ < 5

Frequently Asked Questions (FAQ)

What is |2x-1|<= 4 ?
The solution to |2x-1|<= 4 is -3/2 <= x<= 5/2