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Popular >

|x+7x|<= 3

Solution

∣ x + 7 x ∣ \leq 3

Solution

- \frac{3}{8} \leq x \leq \frac{3}{8}

+2

Interval Notation

[- \frac{3}{8}, \frac{3}{8}]

Decimal Notation

- 0.375 \leq x \leq 0.375

Solution steps

∣ x + 7 x ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x + 7 x \leq 3

x + 7 x \geq - 3 and x + 7 x \leq 3

x \geq - \frac{3}{8} and x \leq \frac{3}{8}

Merge Overlapping Intervals

- \frac{3}{8} \leq x \leq \frac{3}{8}

Popular Examples

simplify 5/12*2 simplify

\frac{5}{12} \cdot 2

simplify 10^{-2}simplify

1 0^{- 2}

factor x^2+x-20 factor

x^{2} + x - 20

2 x^{2} = 26

simplify 3/2-5 simplify

\frac{3}{2} - 5

Frequently Asked Questions (FAQ)

What is |x+7x|<= 3 ?
The solution to |x+7x|<= 3 is -3/8 <= x<= 3/8