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Popular >

1-5(x-2)+1<2(x-1)-2

Solution

1 - 5 (x - 2) + 1 < 2 (x - 1) - 2

Solution

x > \frac{16}{7}

+2

Interval Notation

(\frac{16}{7}, \infty)

Decimal Notation

x > 2.28571 \dots

Solution steps

1 - 5 (x - 2) + 1 < 2 (x - 1) - 2

Expand

1 - 5 (x - 2) + 1 : - 5 x + 12

Expand

2 (x - 1) - 2 : 2 x - 4

- 5 x + 12 < 2 x - 4

Move

12

to the right side

- 5 x < 2 x - 16

Move

2 x

to the left side

- 7 x < - 16

Multiply both sides by

- 1

7 x > 16

Divide both sides by

7

x > \frac{16}{7}

Popular Examples

3 x^{2} = - 12 x - 15

simplify 1/(81^{-3/4)}simplify

\frac{1}{8 1 ^{- \frac{3}{4}}}

simplify ab+(ab)/(a+b)((a+b)/(a-b)-a-b)simplify

ab + \frac{ab}{a + b} (\frac{a + b}{a - b} - a - b)

\frac{4}{3} x + 5 = 9

simplify (5/x)^2 simplify

(\frac{5}{x})^{2}

Frequently Asked Questions (FAQ)

What is 1-5(x-2)+1<2(x-1)-2 ?
The solution to 1-5(x-2)+1<2(x-1)-2 is x> 16/7