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Popular >

4|5+6x|>= 20

Solution

4 ∣ 5 + 6 x ∣ \geq 20

Solution

x \leq - \frac{5}{3} or x \geq 0

+2

Interval Notation

(- \infty, - \frac{5}{3}] \cup [0, \infty)

Decimal Notation

x \leq - 1.66666 \dots or x \geq 0

Solution steps

4 ∣ 5 + 6 x ∣ \geq 20

Divide both sides by

4

∣ 5 + 6 x ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{5}{3} or x \geq 0

Popular Examples

simplify 3/8+6/7 simplify

\frac{3}{8} + \frac{6}{7}

5 x^{2} + 5 x + 3 < 0

- 5 x - 4 + 6 x = 6

8x+4+x+6+2x+5=180

8 x + 4 + x + 6 + 2 x + 5 = 180

simplify ((-5x^3y+2^2y^2-6xy^3))/((4^2y^3))simplify

\frac{( - 5 x ^{3} y + 2 ^{2} y ^{2} - 6 x y ^{3} )}{( 4 ^{2} y ^{3} )}

Frequently Asked Questions (FAQ)

What is 4|5+6x|>= 20 ?
The solution to 4|5+6x|>= 20 is x<=-5/3 \lor x>= 0