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Popular >

(3(x-4))/2 >= (2x)/5-9

Solution

\frac{3 ( x - 4 )}{2} \geq \frac{2 x}{5} - 9

Solution

x \geq - \frac{30}{11}

+2

Interval Notation

[- \frac{30}{11}, \infty)

Decimal Notation

x \geq - 2.72727 \dots

Solution steps

\frac{3 ( x - 4 )}{2} \geq \frac{2 x}{5} - 9

Multiply by LCM

15 (x - 4) \geq 4 x - 90

Expand

15 (x - 4) : 15 x - 60

15 x - 60 \geq 4 x - 90

Move

60

to the right side

15 x \geq 4 x - 30

Move

4 x

to the left side

11 x \geq - 30

Divide both sides by

11

x \geq - \frac{30}{11}

Popular Examples

simplify i^{43}simplify

i^{43}

2 (5)^{2}

log_{4}(2x^2+3x+1)>= log_{2}(2x+2)

lo g_{4} (2 x^{2} + 3 x + 1) \geq lo g_{2} (2 x + 2)

factor x^3-3x^2-13x+15 factor

x^{3} - 3 x^{2} - 13 x + 15

x^2+(x+4)^2=20^2

x^{2} + (x + 4)^{2} = 2 0^{2}

Frequently Asked Questions (FAQ)

What is (3(x-4))/2 >= (2x)/5-9 ?
The solution to (3(x-4))/2 >= (2x)/5-9 is x>=-30/11