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Popular >

|3-4x|>= 13

Solution

∣ 3 - 4 x ∣ \geq 13

Solution

x \leq - \frac{5}{2} or x \geq 4

+2

Interval Notation

(- \infty, - \frac{5}{2}] \cup [4, \infty)

Decimal Notation

x \leq - 2.5 or x \geq 4

Solution steps

∣ 3 - 4 x ∣ \geq 13

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 - 4 x \leq - 13 or 3 - 4 x \geq 13

3 - 4 x \leq - 13 or 3 - 4 x \geq 13

x \leq - \frac{5}{2} or x \geq 4

Popular Examples

x(3x-12)(4x-32)>= 0

x (3 x - 12) (4 x - 32) \geq 0

x^{3} - 2 x^{2} - x + 2 > 0

x+6(0.56254-5.2)+38(2.61845-5.2)=0

x + 6 (0.56254 - 5.2) + 38 (2.61845 - 5.2) = 0

simplify (-2-10)/(e^2)simplify

\frac{- 2 - 10}{e ^{2}}

(x - 1) (2 x + 3) = 0

Frequently Asked Questions (FAQ)

What is |3-4x|>= 13 ?
The solution to |3-4x|>= 13 is x<=-5/2 \lor x>= 4