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Popular >

2<= x+9<6

Solution

2 \leq x + 9 < 6

Solution

- 7 \leq x < - 3

+1

Interval Notation

[- 7, - 3)

Solution steps

2 \leq x + 9 < 6

If

a \leq u < b

then

a \leq u and u < b

2 \leq x + 9 and x + 9 < 6

2 \leq x + 9 : x \geq - 7

x + 9 < 6 : x < - 3

Combine the intervals

x \geq - 7 and x < - 3

Merge Overlapping Intervals

- 7 \leq x < - 3

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\frac{9}{2} + \frac{1}{2}

(3x+1)/(x-4)>= 1/3

\frac{3 x + 1}{x - 4} \geq \frac{1}{3}

factor 4x^2+x-5 factor

4 x^{2} + x - 5

8 x \geq - 32

Frequently Asked Questions (FAQ)

What is 2<= x+9<6 ?
The solution to 2<= x+9<6 is -7<= x<-3