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Popular >

|-4x+6|<= 5

Solution

∣ - 4 x + 6 ∣ \leq 5

Solution

\frac{1}{4} \leq x \leq \frac{11}{4}

+2

Interval Notation

[\frac{1}{4}, \frac{11}{4}]

Decimal Notation

0.25 \leq x \leq 2.75

Solution steps

∣ - 4 x + 6 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq - 4 x + 6 \leq 5

- 4 x + 6 \geq - 5 and - 4 x + 6 \leq 5

x \leq \frac{11}{4} and x \geq \frac{1}{4}

Merge Overlapping Intervals

\frac{1}{4} \leq x \leq \frac{11}{4}

Popular Examples

factor 9ax^3+18bx^2+24cx factor

9 a x^{3} + 18 b x^{2} + 24 c x

factor z^2-z-6 factor

z^{2} - z - 6

x=(-6-sqrt(6^2-96))/6

x = \frac{- 6 - 6 ^{2} - 96}{6}

factor 45mn^4+15m^3n^5 factor

45 m n^{4} + 15 m^{3} n^{5}

2*sqrt(13)*x=-6

2 \cdot 13 \cdot x = - 6

Frequently Asked Questions (FAQ)

What is |-4x+6|<= 5 ?
The solution to |-4x+6|<= 5 is 1/4 <= x<= 11/4