Question

How do I solve and graph this inequality?-2 (x + 3) > 4x - 7

Answer 1

ThGiven the inequality below

`-2(x+3)>4x-7`

Remove the bracket using distributive property of algebra

`\begin{gathered} -2(x)-2(3)>4x-7 \\ -2x-6>4x-7 \end{gathered}`

Collect like terms

`\begin{gathered} -2x-4x>-7+6 \\ -6x>-1 \end{gathered}`

Divide both sides by -6

`(-6x)/(-6)<(-1)/(-6)`
`x<(1)/(6)`

Hence, the solution of the inequality is

`x<(1)/(6)`

The graph of the solution is given below

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