What is |2x+1|>= x+5 ?

The solution to |2x+1|>= x+5 is x = 4

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|2x+1|>= x+5

∣ 2 x + 1 ∣ \geq x + 5

x \leq - 2 or x \geq 4

Interval Notation

(- \infty, - 2] \cup [4, \infty)

Solution steps

∣ 2 x + 1 ∣ \geq x + 5

Find positive and negative intervals

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

Solve the inequality for each interval

x \leq - 2 or x \geq 4

1 < \frac{s}{2} - 1

x^{4} - 11 x^{2} + 28

x^{2} - 8 x + 8 = - 10

\frac{2 x}{9} + \frac{5}{9} = \frac{x - 1}{9}

3 x + 5 = - 7 x - 9