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Popular >

|x-2|<= 7

Solution

∣ x - 2 ∣ \leq 7

Solution

- 5 \leq x \leq 9

+1

Interval Notation

[- 5, 9]

Solution steps

∣ x - 2 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq x - 2 \leq 7

x - 2 \geq - 7 and x - 2 \leq 7

x \geq - 5 and x \leq 9

Merge Overlapping Intervals

- 5 \leq x \leq 9

Popular Examples

simplify 2^x*3^x simplify

2^{x} \cdot 3^{x}

factor 225x^2-36 factor

225 x^{2} - 36

((x+8))/(x-5)<= 0

\frac{( x + 8 )}{x - 5} \leq 0

factor 125x^3-216 factor

125 x^{3} - 216

2 x^{2} - 4 x + 12 = 0

Frequently Asked Questions (FAQ)

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