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Popular >

|2x-5|<= 4

Solution

∣ 2 x - 5 ∣ \leq 4

Solution

\frac{1}{2} \leq x \leq \frac{9}{2}

+2

Interval Notation

[\frac{1}{2}, \frac{9}{2}]

Decimal Notation

0.5 \leq x \leq 4.5

Solution steps

∣ 2 x - 5 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq 2 x - 5 \leq 4

2 x - 5 \geq - 4 and 2 x - 5 \leq 4

x \geq \frac{1}{2} and x \leq \frac{9}{2}

Merge Overlapping Intervals

\frac{1}{2} \leq x \leq \frac{9}{2}

Popular Examples

factor-3x+6 factor

- 3 x + 6

simplify 2/5+1/6 simplify

\frac{2}{5} + \frac{1}{6}

x/2-1/2 (12-x)=7x+3(8-x)-8

\frac{x}{2} - \frac{1}{2} (12 - x) = 7 x + 3 (8 - x) - 8

12 x^{2} - 7 x - 12 = 0

simplify (3^2)/(3^5)simplify

\frac{3 ^{2}}{3 ^{5}}

Frequently Asked Questions (FAQ)

What is |2x-5|<= 4 ?
The solution to |2x-5|<= 4 is 1/2 <= x<= 9/2