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Popular >

|6-4x|<= 1

Solution

∣ 6 - 4 x ∣ \leq 1

Solution

\frac{5}{4} \leq x \leq \frac{7}{4}

+2

Interval Notation

[\frac{5}{4}, \frac{7}{4}]

Decimal Notation

1.25 \leq x \leq 1.75

Solution steps

∣ 6 - 4 x ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq 6 - 4 x \leq 1

6 - 4 x \geq - 1 and 6 - 4 x \leq 1

x \leq \frac{7}{4} and x \geq \frac{5}{4}

Merge Overlapping Intervals

\frac{5}{4} \leq x \leq \frac{7}{4}

Popular Examples

simplify 2(1/5)^2 simplify

2 (\frac{1}{5})^{2}

simplify (-5/4)^3 simplify

(- \frac{5}{4})^{3}

simplify 1/2 ln(4t^4)-ln(2)simplify

\frac{1}{2} ln (4 t^{4}) - ln (2)

4 x^{2} - 8 x = - 4

simplify 2(-1/5)simplify

2 (- \frac{1}{5})

Frequently Asked Questions (FAQ)

What is |6-4x|<= 1 ?
The solution to |6-4x|<= 1 is 5/4 <= x<= 7/4