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Popular >

|x-5|<2x+3

Solution

∣ x - 5 ∣ < 2 x + 3

Solution

x > \frac{2}{3}

+2

Interval Notation

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

Decimal Notation

x > 0.66666 \dots

Solution steps

∣ x - 5 ∣ < 2 x + 3

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

\frac{2}{3} < x < 5 or x \geq 5

Merge Overlapping Intervals

x > \frac{2}{3}

Popular Examples

simplify 128^{-2/7}simplify

12 8^{- \frac{2}{7}}

factor \sqrt[3]{125}factor

∣ 6 x - 11 ∣ \leq 5

6 x^{2} + 7 x + 1 = 0

simplify (30+20i)/(1+5i)simplify

\frac{30 + 20 i}{1 + 5 i}

Frequently Asked Questions (FAQ)

What is |x-5|<2x+3 ?
The solution to |x-5|<2x+3 is x> 2/3