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Popular >

7+2|3x+4|<21

Solution

7 + 2 ∣ 3 x + 4 ∣ < 21

Solution

- \frac{11}{3} < x < 1

+2

Interval Notation

(- \frac{11}{3}, 1)

Decimal Notation

- 3.66666 \dots < x < 1

Solution steps

7 + 2 ∣ 3 x + 4 ∣ < 21

Move

7

to the right side

2 ∣ 3 x + 4 ∣ < 14

Divide both sides by

2

∣ 3 x + 4 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 3 x + 4 < 7

3 x + 4 > - 7 and 3 x + 4 < 7

x > - \frac{11}{3} and x < 1

Merge Overlapping Intervals

- \frac{11}{3} < x < 1

Popular Examples

5 x^{2} - 22 x + 8 = 0

factor 16x^2-56x+49 factor

16 x^{2} - 56 x + 49

simplify (2/3)^{-2}+2 simplify

(\frac{2}{3})^{- 2} + 2

simplify 3a+4[c-2a[3(4-b)]+3c]+3 simplify

3 a + 4 [c - 2 a [3 (4 - b)] + 3 c] + 3

simplify (2pi)/(-6)simplify

\frac{2 π}{- 6}

Frequently Asked Questions (FAQ)

What is 7+2|3x+4|<21 ?
The solution to 7+2|3x+4|<21 is -11/3 <x<1