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Popular >

|2x+1|-5>=-1

Solution

∣ 2 x + 1 ∣ - 5 \geq - 1

Solution

x \leq - \frac{5}{2} or x \geq \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{5}{2}] \cup [\frac{3}{2}, \infty)

Decimal Notation

x \leq - 2.5 or x \geq 1.5

Solution steps

∣ 2 x + 1 ∣ - 5 \geq - 1

Move

5

to the right side

∣ 2 x + 1 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 1 \leq - 4 or 2 x + 1 \geq 4

2 x + 1 \leq - 4 or 2 x + 1 \geq 4

x \leq - \frac{5}{2} or x \geq \frac{3}{2}

Popular Examples

5^{2} + 1 3^{2}

3 - 4 x < 7

2.2 = z - 1.1

simplify e^{ln(7)}simplify

e^{l n (7)}

factor (e^x+e^{-x})^2 factor

(e^{x} + e^{- x})^{2}

Frequently Asked Questions (FAQ)

What is |2x+1|-5>=-1 ?
The solution to |2x+1|-5>=-1 is x<=-5/2 \lor x>= 3/2