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Popular >

|5x+2|<= 3

Solution

∣ 5 x + 2 ∣ \leq 3

Solution

- 1 \leq x \leq \frac{1}{5}

+2

Interval Notation

[- 1, \frac{1}{5}]

Decimal Notation

- 1 \leq x \leq 0.2

Solution steps

∣ 5 x + 2 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq 5 x + 2 \leq 3

5 x + 2 \geq - 3 and 5 x + 2 \leq 3

x \geq - 1 and x \leq \frac{1}{5}

Merge Overlapping Intervals

- 1 \leq x \leq \frac{1}{5}

Popular Examples

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2 (4 k^{2} - 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)

factor 45a^4-30a^3+5a^2 factor

45 a^{4} - 30 a^{3} + 5 a^{2}

- \frac{1}{2} x \geq 4

factor x^2+7x-120 factor

x^{2} + 7 x - 120

3x^2-2x<2x^2+35

3 x^{2} - 2 x < 2 x^{2} + 35

Frequently Asked Questions (FAQ)

What is |5x+2|<= 3 ?
The solution to |5x+2|<= 3 is -1<= x<= 1/5