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Popular >

|2x|+4<7

Solution

∣ 2 x ∣ + 4 < 7

Solution

- \frac{3}{2} < x < \frac{3}{2}

+2

Interval Notation

(- \frac{3}{2}, \frac{3}{2})

Decimal Notation

- 1.5 < x < 1.5

Solution steps

∣ 2 x ∣ + 4 < 7

Move

4

to the right side

∣ 2 x ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x < 3

2 x > - 3 and 2 x < 3

x > - \frac{3}{2} and x < \frac{3}{2}

Merge Overlapping Intervals

- \frac{3}{2} < x < \frac{3}{2}

Popular Examples

factor 18m+20 factor

18 m + 20

\frac{w}{4} - 1 = 5

(1 - x^{2}) = 0

- 4 r + 18 = - 2 (8 r)

factor 2x^4-15x^3+11x^2+78x-40 factor

2 x^{4} - 15 x^{3} + 11 x^{2} + 78 x - 40

Frequently Asked Questions (FAQ)

What is |2x|+4<7 ?
The solution to |2x|+4<7 is -3/2 <x< 3/2