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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

Interval Notation

(- \infty, \frac{5}{4}] \cup [\frac{9}{4}, \infty)

Decimal Notation

x \leq 1.25 or x \geq 2.25

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}

Popular Examples

2 w^{2} - w = 6

(t + 3)^{2} = 5

x^{2} - 2 x - 3 = 4

simplify (6k^4)(-k^2)simplify

(6 k^{4}) (- k^{2})

simplify (19-4i}{2-5i}+\frac{3+2i)/i simplify

\frac{19 - 4 i}{2 - 5 i} + \frac{3 + 2 i}{i}

Frequently Asked Questions (FAQ)

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