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Popular >

(x+5)^2<= 10^2

Solution

(x + 5)^{2} \leq 1 0^{2}

Solution

- 15 \leq x \leq 5

+1

Interval Notation

[- 15, 5]

Solution steps

(x + 5)^{2} \leq 1 0^{2}

For

u^{n} \leq a

, if

n

is even then

- 1 0^{2} \leq x + 5 \leq 1 0^{2}

If

a \leq u \leq b

then

a \leq u and u \leq b

- 1 0^{2} \leq x + 5 and x + 5 \leq 1 0^{2}

- 1 0^{2} \leq x + 5 : x \geq - 15

x + 5 \leq 1 0^{2} : x \leq 5

Combine the intervals

x \geq - 15 and x \leq 5

Merge Overlapping Intervals

- 15 \leq x \leq 5

Popular Examples

x^{2} - 16 x + 59 = 0

simplify 8(-1/2)simplify

8 (- \frac{1}{2})

135 - 0.04 x = 60

2-6y-8=-3*9y+162

2 - 6 y - 8 = - 3 \cdot 9 y + 162

c=sqrt(21^2+21^2)

c = 2 1^{2} + 2 1^{2}

Frequently Asked Questions (FAQ)

What is (x+5)^2<= 10^2 ?
The solution to (x+5)^2<= 10^2 is -15<= x<= 5