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Popular >

4+2|4x-7|>10

Solution

4 + 2 ∣ 4 x - 7 ∣ > 10

Solution

x < 1 or x > \frac{5}{2}

+2

Interval Notation

(- \infty, 1) \cup (\frac{5}{2}, \infty)

Decimal Notation

x < 1 or x > 2.5

Solution steps

4 + 2 ∣ 4 x - 7 ∣ > 10

Move

4

to the right side

2 ∣ 4 x - 7 ∣ > 6

Divide both sides by

2

∣ 4 x - 7 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

4 x - 7 < - 3 or 4 x - 7 > 3

4 x - 7 < - 3 or 4 x - 7 > 3

x < 1 or x > \frac{5}{2}

Popular Examples

x^{2} = 10 x - 24

simplify (pi/6)/2 simplify

\frac{\frac{π}{6}}{2}

m^{2} + 9 m + 14 = 0

(x+1)/(2x-3)>= 2

\frac{x + 1}{2 x - 3} \geq 2

(|x-3|)/(x-3)=-1

\frac{∣ x - 3 ∣}{x - 3} = - 1

Frequently Asked Questions (FAQ)

What is 4+2|4x-7|>10 ?
The solution to 4+2|4x-7|>10 is x<1\lor x> 5/2