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Popular >

4-6|-6-3x|<=-5

Solution

4 - 6 ∣ - 6 - 3 x ∣ \leq - 5

Solution

x \leq - \frac{5}{2} or x \geq - \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{5}{2}] \cup [- \frac{3}{2}, \infty)

Decimal Notation

x \leq - 2.5 or x \geq - 1.5

Solution steps

4 - 6 ∣ - 6 - 3 x ∣ \leq - 5

Move

4

to the right side

- 6 ∣ - 6 - 3 x ∣ \leq - 9

Multiply both sides by

- 1

6 ∣ - 6 - 3 x ∣ \geq 9

Divide both sides by

6

∣ - 6 - 3 x ∣ \geq \frac{3}{2}

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

- 6 - 3 x \leq - \frac{3}{2} or - 6 - 3 x \geq \frac{3}{2}

- 6 - 3 x \leq - \frac{3}{2} or - 6 - 3 x \geq \frac{3}{2}

x \leq - \frac{5}{2} or x \geq - \frac{3}{2}

Popular Examples

simplify 12-6 simplify

12 - 6

4 p \geq 3 p + 0.7

x^{2} = 40

factor 16x^8-81y^4 factor

16 x^{8} - 81 y^{4}

4 x^{2} = 0

Frequently Asked Questions (FAQ)

What is 4-6|-6-3x|<=-5 ?
The solution to 4-6|-6-3x|<=-5 is x<=-5/2 \lor x>=-3/2