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Popular >

|2x+5|<= 9

Solution

∣ 2 x + 5 ∣ \leq 9

Solution

- 7 \leq x \leq 2

+1

Interval Notation

[- 7, 2]

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 - 7 and x \leq 2

Merge Overlapping Intervals

- 7 \leq x \leq 2

Popular Examples

factor x^3+3x^2-2x-6 factor

x^{3} + 3 x^{2} - 2 x - 6

-4\times X+4<=-5\times X+10

- 4 \times X + 4 \leq - 5 \times X + 10

\frac{5 b + 8}{3} < 3 b

1.4*10^2(x-0.028)=10.5

1.4 \cdot 1 0^{2} (x - 0.028) = 10.5

1/x <= 1/(x+1)-2/(x+2)

\frac{1}{x} \leq \frac{1}{x + 1} - \frac{2}{x + 2}

Frequently Asked Questions (FAQ)

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