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Popular >

-3|2x-16|+25<4

Solution

- 3 ∣ 2 x - 16 ∣ + 25 < 4

Solution

x < \frac{9}{2} or x > \frac{23}{2}

+2

Interval Notation

(- \infty, \frac{9}{2}) \cup (\frac{23}{2}, \infty)

Decimal Notation

x < 4.5 or x > 11.5

Solution steps

- 3 ∣ 2 x - 16 ∣ + 25 < 4

Move

25

to the right side

- 3 ∣ 2 x - 16 ∣ < - 21

Multiply both sides by

- 1

3 ∣ 2 x - 16 ∣ > 21

Divide both sides by

3

∣ 2 x - 16 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 16 < - 7 or 2 x - 16 > 7

2 x - 16 < - 7 or 2 x - 16 > 7

x < \frac{9}{2} or x > \frac{23}{2}

Popular Examples

50 > \frac{m}{- 3}

x^{3} < 121 x

simplify \sqrt[3]{-1/125}simplify

factor z^2+z-1-3i factor

z^{2} + z - 1 - 3 i

5 - 3 (x - 2) + 8 = 10

Frequently Asked Questions (FAQ)

What is -3|2x-16|+25<4 ?
The solution to -3|2x-16|+25<4 is x< 9/2 \lor x> 23/2