What is |5x+3|>= 3x ?

The solution to |5x+3|>= 3x is True for all x

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|5x+3|>= 3x

∣ 5 x + 3 ∣ \geq 3 x

True for all x

Interval Notation

(- \infty, \infty)

Solution steps

∣ 5 x + 3 ∣ \geq 3 x

Find positive and negative intervals

x < - \frac{3}{5}, x \geq - \frac{3}{5}

Solve the inequality for each interval

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

Merge Overlapping Intervals

True for all x

m^{2} + 75 = 37

4 x^{3} - 6 x^{2} - 28 x

(x - 5) (x + 1) + (2 x - 5) (x + 2) - (x + 7) (3 x - 4) = 2

(5 x + 15) = (6 x - 10)

- 2 ∣ 5 - 4 x ∣ + 5 = 3