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Popular >

|4y-7|>= 8

Solution

∣ 4 y - 7 ∣ \geq 8

Solution

y \leq - \frac{1}{4} or y \geq \frac{15}{4}

+2

Interval Notation

(- \infty, - \frac{1}{4}] \cup [\frac{15}{4}, \infty)

Decimal Notation

y \leq - 0.25 or y \geq 3.75

Solution steps

∣ 4 y - 7 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 y - 7 \leq - 8 or 4 y - 7 \geq 8

4 y - 7 \leq - 8 or 4 y - 7 \geq 8

y \leq - \frac{1}{4} or y \geq \frac{15}{4}

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12 + 75

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Frequently Asked Questions (FAQ)

What is |4y-7|>= 8 ?
The solution to |4y-7|>= 8 is y<=-1/4 \lor y>= 15/4