What is |7-2x|>= x-3 ?

The solution to |7-2x|>= x-3 is x = 4

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|7-2x|>= x-3

∣ 7 - 2 x ∣ \geq x - 3

x \leq \frac{10}{3} or x \geq 4

Interval Notation

(- \infty, \frac{10}{3}] \cup [4, \infty)

Decimal Notation

x \leq 3.33333 \dots or x \geq 4

Solution steps

∣ 7 - 2 x ∣ \geq x - 3

Find positive and negative intervals

x \leq \frac{7}{2}, x > \frac{7}{2}

Solve the inequality for each interval

x \leq \frac{10}{3} or x \geq 4

0.6 x^{2} - 1.2 x - 0.6 = 0

64 t^{3} - 1

x^{2} + 2 x + 10 = 0

∣ x - 8 ∣ \geq - 6

x^{4} - 5 x^{2} + 4 \leq 0