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Popular >

|2x|<7

Solution

∣ 2 x ∣ < 7

Solution

- \frac{7}{2} < x < \frac{7}{2}

+2

Interval Notation

(- \frac{7}{2}, \frac{7}{2})

Decimal Notation

- 3.5 < x < 3.5

Solution steps

∣ 2 x ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 2 x < 7

2 x > - 7 and 2 x < 7

x > - \frac{7}{2} and x < \frac{7}{2}

Merge Overlapping Intervals

- \frac{7}{2} < x < \frac{7}{2}

Popular Examples

simplify 1-1/(2^2)simplify

1 - \frac{1}{2 ^{2}}

simplify i^8 simplify

i^{8}

simplify-7+8 simplify

- 7 + 8

0 = 8 x^{2} - 6 x + 4

(x^2-4x+5)/(x^2-3x-4)<= 0

\frac{x ^{2} - 4 x + 5}{x ^{2} - 3 x - 4} \leq 0

Frequently Asked Questions (FAQ)

What is |2x|<7 ?
The solution to |2x|<7 is -7/2 <x< 7/2