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Popular >

|5x-3|<7

Solution

∣ 5 x - 3 ∣ < 7

Solution

- \frac{4}{5} < x < 2

+2

Interval Notation

(- \frac{4}{5}, 2)

Decimal Notation

- 0.8 < x < 2

Solution steps

∣ 5 x - 3 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 5 x - 3 < 7

5 x - 3 > - 7 and 5 x - 3 < 7

x > - \frac{4}{5} and x < 2

Merge Overlapping Intervals

- \frac{4}{5} < x < 2

Popular Examples

simplify 8*3^{-2}simplify

8 \cdot 3^{- 2}

simplify sqrt((55x^7y^6)/(11x^{11)y^8)}simplify

\frac{55 x ^{7} y ^{6}}{11 x ^{11} y ^{8}}

12(x-1)=-6(2-x)+6x

12 (x - 1) = - 6 (2 - x) + 6 x

\frac{11 u}{3} \leq \frac{2}{9}

x^{2} + 6 x + 3 = 0

Frequently Asked Questions (FAQ)

What is |5x-3|<7 ?
The solution to |5x-3|<7 is -4/5 <x<2