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Popular >

2x<= (6x-8)/2 <= (14x-2)/2

Solution

2 x \leq \frac{6 x - 8}{2} \leq \frac{14 x - 2}{2}

Solution

x \geq 4

+1

Interval Notation

[4, \infty)

Solution steps

2 x \leq \frac{6 x - 8}{2} \leq \frac{14 x - 2}{2}

If

a \leq u \leq b

then

a \leq u and u \leq b

2 x \leq \frac{6 x - 8}{2} and \frac{6 x - 8}{2} \leq \frac{14 x - 2}{2}

2 x \leq \frac{6 x - 8}{2} : x \geq 4

\frac{6 x - 8}{2} \leq \frac{14 x - 2}{2} : x \geq - \frac{3}{4}

Combine the intervals

x \geq 4 and x \geq - \frac{3}{4}

Merge Overlapping Intervals

x \geq 4

Popular Examples

simplify \sqrt[4]{0.0256}simplify

((x+1)(2x+3)(x+2))/6 =((x+1)^2(2x+2))/6

\frac{( x + 1 ) ( 2 x + 3 ) ( x + 2 )}{6} = \frac{( x + 1 ) ^{2} ( 2 x + 2 )}{6}

simplify (2a^2+10a)/(3a^2+15a)simplify

\frac{2 a ^{2} + 10 a}{3 a ^{2} + 15 a}

simplify (28)/(-4)simplify

\frac{28}{- 4}

simplify-5/2+2 simplify

- \frac{5}{2} + 2

Frequently Asked Questions (FAQ)

What is 2x<= (6x-8)/2 <= (14x-2)/2 ?
The solution to 2x<= (6x-8)/2 <= (14x-2)/2 is x>= 4