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Popular >

|4-4x|<= 3

Solution

∣ 4 - 4 x ∣ \leq 3

Solution

\frac{1}{4} \leq x \leq \frac{7}{4}

+2

Interval Notation

[\frac{1}{4}, \frac{7}{4}]

Decimal Notation

0.25 \leq x \leq 1.75

Solution steps

∣ 4 - 4 x ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq 4 - 4 x \leq 3

4 - 4 x \geq - 3 and 4 - 4 x \leq 3

x \leq \frac{7}{4} and x \geq \frac{1}{4}

Merge Overlapping Intervals

\frac{1}{4} \leq x \leq \frac{7}{4}

Popular Examples

4-(x+3)/6 =2+(9-2x)/3

4 - \frac{x + 3}{6} = 2 + \frac{9 - 2 x}{3}

simplify 1000(1+(0.08)/(12))^{60}simplify

1000 (1 + \frac{0.08}{12})^{60}

simplify (9*5^8(ln(5)8-5))/(8^6)simplify

\frac{9 \cdot 5 ^{8} ( ln ( 5 ) 8 - 5 )}{8 ^{6}}

2 x^{2} + 5 x \leq 12

simplify sqrt(-40)simplify

- 40

Frequently Asked Questions (FAQ)

What is |4-4x|<= 3 ?
The solution to |4-4x|<= 3 is 1/4 <= x<= 7/4