Solve the inequality 2(2x+3)-10<6(x-2)

{2\left(2x+3\right)-10}<{6\left(x-2\right)}

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Answer

$x>4$

Step by step solution

Problem

${2\left(2x+3\right)-10}<{6\left(x-2\right)}$
1

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

$-10+6+4x<6x-12$
2

Subtract the values $6$ and $-10$

$4x-4<6x-12$
3

Grouping terms

$-6x+4x-4<-12$
4

Adding $4x$ and $-6x$

$-2x-4<-12$
5

Moving the term $-4$ to the other side of the inequation with opposite sign

$-2x<4-12$
6

Subtract the values $4$ and $-12$

$-2x<-8$
7

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

$2x>8$
8

Divide both sides of the inequation by $2$

$x>4$

Answer

$x>4$

Problem Analysis

Main topic:

Polynomials

Time to solve it:

0.22 seconds

Views:

97