What is |9-2x|>= |4x| ?

The solution to |9-2x|>= |4x| is -9/2 <= x<= 3/2

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|9-2x|>= |4x|

∣ 9 - 2 x ∣ \geq ∣ 4 x ∣

- \frac{9}{2} \leq x \leq \frac{3}{2}

Interval Notation

[- \frac{9}{2}, \frac{3}{2}]

Decimal Notation

- 4.5 \leq x \leq 1.5

Solution steps

∣ 9 - 2 x ∣ \geq ∣ 4 x ∣

Find positive and negative intervals

x < 0, 0 \leq x \leq \frac{9}{2}, x > \frac{9}{2}

Solve the inequality for each interval

- \frac{9}{2} \leq x < 0 or 0 \leq x \leq \frac{3}{2} or No Solution

Merge Overlapping Intervals

- \frac{9}{2} \leq x \leq \frac{3}{2}

2 t + 2 > 10

∣ 2 x + 8 ∣ > 6

\frac{x}{3} = \frac{2}{5}

∣ 7 x - 1 ∣ > 3

x - 7 < 5