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Popular >

-1<= (x-4)/4 < 1/2

Solution

- 1 \leq \frac{x - 4}{4} < \frac{1}{2}

Solution

0 \leq x < 6

+1

Interval Notation

[0, 6)

Solution steps

- 1 \leq \frac{x - 4}{4} < \frac{1}{2}

If

a \leq u < b

then

a \leq u and u < b

- 1 \leq \frac{x - 4}{4} and \frac{x - 4}{4} < \frac{1}{2}

- 1 \leq \frac{x - 4}{4} : x \geq 0

\frac{x - 4}{4} < \frac{1}{2} : x < 6

Combine the intervals

x \geq 0 and x < 6

Merge Overlapping Intervals

0 \leq x < 6

Popular Examples

(x+7)/6 >(4x-6)/7

\frac{x + 7}{6} > \frac{4 x - 6}{7}

m^{2} + 4 m - 2 = 0

simplify (1+43i)/(-5+7i)simplify

\frac{1 + 43 i}{- 5 + 7 i}

12=k(ln(7))+(20)/(ln(2.6))-k

12 = k (ln (7)) + \frac{20}{ln ( 2.6 )} - k

simplify (-1)^{1/5}simplify

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

Frequently Asked Questions (FAQ)

What is -1<= (x-4)/4 < 1/2 ?
The solution to -1<= (x-4)/4 < 1/2 is 0<= x<6