Solve the inequality 3(2x-1)>4+5(x-1)

3\left(2x-1\right)>4+5\left(x-1\right)

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Answer

$x>2$

Step by step solution

Problem

$3\left(2x-1\right)>4+5\left(x-1\right)$
1

Multiply $\left(2x+-1\right)$ by $3$

$6x-3>4-5+5x$
2

Subtract the values $4$ and $-5$

$6x-3>5x-1$
3

Grouping terms

$-5x-3+6x>-1$
4

Adding $6x$ and $-5x$

$x-3>-1$
5

Moving the term $-3$ to the other side of the inequation with opposite sign

$x>3-1$
6

Subtract the values $3$ and $-1$

$x>2$

Answer

$x>2$

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Problem Analysis

Main topic:

Polynomials

Time to solve it:

0.29 seconds

Views:

60