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Popular >

|4x-6|+2>= 7

Solution

∣ 4 x - 6 ∣ + 2 \geq 7

Solution

x \leq \frac{1}{4} or x \geq \frac{11}{4}

+2

Interval Notation

(- \infty, \frac{1}{4}] \cup [\frac{11}{4}, \infty)

Decimal Notation

x \leq 0.25 or x \geq 2.75

Solution steps

∣ 4 x - 6 ∣ + 2 \geq 7

Move

2

to the right side

∣ 4 x - 6 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 6 \leq - 5 or 4 x - 6 \geq 5

4 x - 6 \leq - 5 or 4 x - 6 \geq 5

x \leq \frac{1}{4} or x \geq \frac{11}{4}

Popular Examples

factor 27x^3+8y^3 factor

27 x^{3} + 8 y^{3}

factor n^2+2n+np+2p factor

n^{2} + 2 n + n p + 2 p

simplify (f(3+h)-f(3))/h simplify

\frac{f ( 3 + h ) - f ( 3 )}{h}

factor 3x^2+12x-6x^3 factor

3 x^{2} + 12 x - 6 x^{3}

- 16 = - 4 - 6 x

Frequently Asked Questions (FAQ)

What is |4x-6|+2>= 7 ?
The solution to |4x-6|+2>= 7 is x<= 1/4 \lor x>= 11/4