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Popular >

5<= (3x+1)/2 <11

Solution

5 \leq \frac{3 x + 1}{2} < 11

Solution

3 \leq x < 7

+1

Interval Notation

[3, 7)

Solution steps

5 \leq \frac{3 x + 1}{2} < 11

If

a \leq u < b

then

a \leq u and u < b

5 \leq \frac{3 x + 1}{2} and \frac{3 x + 1}{2} < 11

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

\frac{3 x + 1}{2} < 11 : x < 7

Combine the intervals

x \geq 3 and x < 7

Merge Overlapping Intervals

3 \leq x < 7

Popular Examples

factor r^3-s^3 factor

r^{3} - s^{3}

3 ∣ x + 3 ∣ + 7 \leq 13

simplify (a^2+19a+90)/(a^2+15a+50)simplify

\frac{a ^{2} + 19 a + 90}{a ^{2} + 15 a + 50}

simplify-16x^5y^4(xy^5)simplify

- 16 x^{5} y^{4} (x y^{5})

\sqrt[3]{x-4}<= 5

Frequently Asked Questions (FAQ)

What is 5<= (3x+1)/2 <11 ?
The solution to 5<= (3x+1)/2 <11 is 3<= x<7