What is |2x+1|>= 2+x ?

The solution to |2x+1|>= 2+x is x = 1

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|2x+1|>= 2+x

∣ 2 x + 1 ∣ \geq 2 + x

x \leq - 1 or x \geq 1

Interval Notation

(- \infty, - 1] \cup [1, \infty)

Solution steps

∣ 2 x + 1 ∣ \geq 2 + x

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

x \leq - 1 or x \geq 1

5 y + (- 5) = 10

y^{2} - 10 y + 26 = 0

x (x - 1) - 5 (x - 2) = 2

6 x - x^{2} = 8

\frac{2}{- 6}