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Popular >

3|4-3x|+7>25

Solution

3 ∣ 4 - 3 x ∣ + 7 > 25

Solution

x < - \frac{2}{3} or x > \frac{10}{3}

+2

Interval Notation

(- \infty, - \frac{2}{3}) \cup (\frac{10}{3}, \infty)

Decimal Notation

x < - 0.66666 \dots or x > 3.33333 \dots

Solution steps

3 ∣ 4 - 3 x ∣ + 7 > 25

Move

7

to the right side

3 ∣ 4 - 3 x ∣ > 18

Divide both sides by

3

∣ 4 - 3 x ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

4 - 3 x < - 6 or 4 - 3 x > 6

4 - 3 x < - 6 or 4 - 3 x > 6

x < - \frac{2}{3} or x > \frac{10}{3}

Popular Examples

log_{3}(x+2)<= 1

lo g_{3} (x + 2) \leq 1

8 x - 6 = 90

x^{4} - 3 x^{2} + 2 = 0

\frac{1}{3} x - 15 = x - 5

∣ 5 m - 9 ∣ \geq 24

Frequently Asked Questions (FAQ)

What is 3|4-3x|+7>25 ?
The solution to 3|4-3x|+7>25 is x<-2/3 \lor x> 10/3