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Popular >

|4x-3|>= 2

Solution

∣ 4 x - 3 ∣ \geq 2

Solution

x \leq \frac{1}{4} or x \geq \frac{5}{4}

+2

Interval Notation

(- \infty, \frac{1}{4}] \cup [\frac{5}{4}, \infty)

Decimal Notation

x \leq 0.25 or x \geq 1.25

Solution steps

∣ 4 x - 3 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 3 \leq - 2 or 4 x - 3 \geq 2

4 x - 3 \leq - 2 or 4 x - 3 \geq 2

x \leq \frac{1}{4} or x \geq \frac{5}{4}

Popular Examples

simplify 230*pi/(180)simplify

230 \cdot \frac{π}{180}

factor 100-49x^2 factor

100 - 49 x^{2}

factor 16b^2-1 factor

16 b^{2} - 1

simplify (12x^7y^6)/(20x^8y^4)simplify

\frac{12 x ^{7} y ^{6}}{20 x ^{8} y ^{4}}

∣ 0.7 x + 5 ∣ > 6.7

Frequently Asked Questions (FAQ)

What is |4x-3|>= 2 ?
The solution to |4x-3|>= 2 is x<= 1/4 \lor x>= 5/4