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Popular >

2<= 3-2(x+1)<8

Solution

2 \leq 3 - 2 (x + 1) < 8

Solution

- \frac{7}{2} < x \leq - \frac{1}{2}

+2

Interval Notation

(- \frac{7}{2}, - \frac{1}{2}]

Decimal Notation

- 3.5 < x \leq - 0.5

Solution steps

2 \leq 3 - 2 (x + 1) < 8

If

a \leq u < b

then

a \leq u and u < b

2 \leq 3 - 2 (x + 1) and 3 - 2 (x + 1) < 8

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

3 - 2 (x + 1) < 8 : x > - \frac{7}{2}

Combine the intervals

x \leq - \frac{1}{2} and x > - \frac{7}{2}

Merge Overlapping Intervals

- \frac{7}{2} < x \leq - \frac{1}{2}

Popular Examples

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9^{2} + 1 2^{2}

121 x^{2} + 24 x + 2 = 0

-4x-11>5\lor 8x-7>9

- 4 x - 11 > 5 or 8 x - 7 > 9

2 y = 5 y^{2} - 3

simplify-81x+19y-30z+6y+80x+x-25y simplify

- 81 x + 19 y - 30 z + 6 y + 80 x + x - 25 y

Frequently Asked Questions (FAQ)

What is 2<= 3-2(x+1)<8 ?
The solution to 2<= 3-2(x+1)<8 is -7/2 <x<=-1/2