Question

Given the statement 5-3x>11 which statement is greater? x is greater -2 is greater

Answer 1

We are given the following inequality

`5-3x>11`

Let us solve this inequality for x

Step 1:

Subtract 5 from both sides of the inequality

`\begin{gathered} -5+5-3x>11-5 \\ -3x>6 \end{gathered}`

Step 2:

Divide both sides of the inequality by -3 (the inequality will be reversed since we are dividing by a negative number)

`\begin{gathered} -(3x)/(-3)>(6)/(-3) \\ x<-2 \end{gathered}`

So x is less than -2

This means that -2 is greater than x

Therefore, the 2nd option is the correct answer.