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Popular >

|2x-5|<= 9

Solution

∣ 2 x - 5 ∣ \leq 9

Solution

- 2 \leq x \leq 7

+1

Interval Notation

[- 2, 7]

Solution steps

∣ 2 x - 5 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq 2 x - 5 \leq 9

2 x - 5 \geq - 9 and 2 x - 5 \leq 9

x \geq - 2 and x \leq 7

Merge Overlapping Intervals

- 2 \leq x \leq 7

Popular Examples

simplify (x^2-y^2)-((x+y)(x-y))+3x^2 simplify

(x^{2} - y^{2}) - ((x + y) (x - y)) + 3 x^{2}

x^{2} + x - 6 < 0

factor xy^2+x-y^2z-z factor

x y^{2} + x - y^{2} z - z

- 10 \leq - 7 + u

10+2(9-5)-16\div 8

10 + 2 (9 - 5) - 16 \div 8

Frequently Asked Questions (FAQ)

What is |2x-5|<= 9 ?
The solution to |2x-5|<= 9 is -2<= x<= 7