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Popular >

|2-x|<= 5

Solution

∣ 2 - x ∣ \leq 5

Solution

- 3 \leq x \leq 7

+1

Interval Notation

[- 3, 7]

Solution steps

∣ 2 - x ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq 2 - x \leq 5

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

x \leq 7 and x \geq - 3

Merge Overlapping Intervals

- 3 \leq x \leq 7

Popular Examples

12(2x+1)-14(8x+2)=3(x-4)

12 (2 x + 1) - 14 (8 x + 2) = 3 (x - 4)

factor 343x^3+27y^3 factor

343 x^{3} + 27 y^{3}

97 = 215 t - 16 t^{2}

3 x^{2} - 14 x + 8 > 0

simplify-4a^2b-5a^2b simplify

- 4 a^{2} b - 5 a^{2} b

Frequently Asked Questions (FAQ)

What is |2-x|<= 5 ?
The solution to |2-x|<= 5 is -3<= x<= 7