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Popular >

|4x-7|>= 2

Solution

∣ 4 x - 7 ∣ \geq 2

Solution

x \leq \frac{5}{4} or x \geq \frac{9}{4}

+2

Solution steps

∣ 4 x - 7 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 7 \leq - 2 or 4 x - 7 \geq 2

4 x - 7 \leq - 2 or 4 x - 7 \geq 2

x \leq \frac{5}{4} or x \geq \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is |4x-7|>= 2 ?
The solution to |4x-7|>= 2 is x<= 5/4 \lor x>= 9/4