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Popular >

(x-1)/2-2<= (3x-2)/5

Solution

\frac{x - 1}{2} - 2 \leq \frac{3 x - 2}{5}

Solution

x \geq - 21

+1

Interval Notation

[- 21, \infty)

Solution steps

\frac{x - 1}{2} - 2 \leq \frac{3 x - 2}{5}

Multiply by LCM

5 (x - 1) - 20 \leq 2 (3 x - 2)

Expand

5 (x - 1) - 20 : 5 x - 25

Expand

2 (3 x - 2) : 6 x - 4

5 x - 25 \leq 6 x - 4

Move

25

to the right side

5 x \leq 6 x + 21

Move

6 x

to the left side

- x \leq 21

Multiply both sides by

- 1

x \geq - 21

Popular Examples

2x^4+13x^3+9x^2-40x+16>= 0

2 x^{4} + 13 x^{3} + 9 x^{2} - 40 x + 16 \geq 0

3 x - 1 > 5

simplify 1/2*2pi simplify

\frac{1}{2} \cdot 2 π

simplify 1/3*1/6 simplify

\frac{1}{3} \cdot \frac{1}{6}

simplify ((8x^6)/(27y^9))^{1/3}simplify

(\frac{8 x ^{6}}{27 y ^{9}})^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

What is (x-1)/2-2<= (3x-2)/5 ?
The solution to (x-1)/2-2<= (3x-2)/5 is x>=-21