What is -1/2+3<= x+1<= 1/2+3 ?

The solution to -1/2+3<= x+1<= 1/2+3 is 3/2 <= x<= 5/2

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-1/2+3<= x+1<= 1/2+3

- \frac{1}{2} + 3 \leq x + 1 \leq \frac{1}{2} + 3

\frac{3}{2} \leq x \leq \frac{5}{2}

Solution steps

- \frac{1}{2} + 3 \leq x + 1 \leq \frac{1}{2} + 3

a \leq u \leq b

then

a \leq u and u \leq b

- \frac{1}{2} + 3 \leq x + 1 and x + 1 \leq \frac{1}{2} + 3

- \frac{1}{2} + 3 \leq x + 1 : x \geq \frac{3}{2}

x + 1 \leq \frac{1}{2} + 3 : x \leq \frac{5}{2}

Combine the intervals

x \geq \frac{3}{2} and x \leq \frac{5}{2}

Merge Overlapping Intervals

\frac{3}{2} \leq x \leq \frac{5}{2}

(- 3 \frac{1}{2})^{2}

\frac{1 ^{2} + 4 + 1}{( 1 ^{2} + 1 + 1 ) ^{2}}

(x + 6) (x - 2) (x - 5) < 0

58 - 10 x \leq 20 + 9 x

\frac{2}{3} + \frac{1}{4}

What is -1/2+3<= x+1<= 1/2+3 ?
The solution to -1/2+3<= x+1<= 1/2+3 is 3/2 <= x<= 5/2