Solve the inequality 3x-14<7x-2

{3x-14}<{7x-2}

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Answer

$x>-3$

Step by step solution

Problem

${3x-14}<{7x-2}$
1

Grouping terms

$-7x-14+3x<-2$
2

Adding $3x$ and $-7x$

$-4x-14<-2$
3

Moving the term $-14$ to the other side of the inequation with opposite sign

$-4x<14-2$
4

Subtract the values $14$ and $-2$

$-4x<12$
5

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

$4x>-12$
6

Divide both sides of the inequation by $4$

$x>-3$

Answer

$x>-3$

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Problem Analysis

Main topic:

Inequalities

Time to solve it:

0.19 seconds

Views:

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