What is (x-1)/5 <= 2(x-1)<= x+(x+1)/2-(1-2x)/4 ?

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(x-1)/5 <= 2(x-1)<= x+(x+1)/2-(1-2x)/4

\frac{x - 1}{5} \leq 2 (x - 1) \leq x + \frac{x + 1}{2} - \frac{1 - 2 x}{4}

x \geq 1

Interval Notation

Solution steps

\frac{x - 1}{5} \leq 2 (x - 1) \leq x + \frac{x + 1}{2} - \frac{1 - 2 x}{4}

a \leq u \leq b

then

a \leq u and u \leq b

\frac{x - 1}{5} \leq 2 (x - 1) and 2 (x - 1) \leq x + \frac{x + 1}{2} - \frac{1 - 2 x}{4}

\frac{x - 1}{5} \leq 2 (x - 1) : x \geq 1

2 (x - 1) \leq x + \frac{x + 1}{2} - \frac{1 - 2 x}{4} :

True for all

x

Combine the intervals

x \geq 1 and True for all x

Merge Overlapping Intervals

x \geq 1

2 ∣ p + 3 ∣ < 6

\frac{( x + 8 )}{x - 3} < 0

a^{3} b^{3} + c^{3}

\frac{784}{7}

95 = \frac{u}{5}

What is (x-1)/5 <= 2(x-1)<= x+(x+1)/2-(1-2x)/4 ?
The solution to (x-1)/5 <= 2(x-1)<= x+(x+1)/2-(1-2x)/4 is x>= 1