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

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

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Answer

$x\leq -1$

Step by step solution

Problem

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

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

$4-3-3x\geq 2+1-x$
2

Subtract the values $4$ and $-3$

$1-3x\geq 2+1-x$
3

Add the values $1$ and $2$

$1-3x\geq 3-x$
4

Grouping terms

$x-3x+1\geq 3$
5

Adding $-3x$ and $x$

$1-2x\geq 3$
6

Moving the term $1$ to the other side of the inequation with opposite sign

$-2x\geq 3-1$
7

Subtract the values $3$ and $-1$

$-2x\geq 2$
8

Multiply both sides of the inequality by $-1$, reversing the sign

$2x\leq -2$
9

Divide both sides of the inequation by $2$

$x\leq -1$

Answer

$x\leq -1$

Problem Analysis

Main topic:

Polynomials

Time to solve it:

0.26 seconds

Views:

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