Question

What is the solution set for -4x -10 < 2?A X <-3B x>-3C x < 2D x > 2

Answer 1

`\begin{gathered} -4x-10<2 \\ \text{Add 10 to both sides of the equation} \\ -4x<2+10 \\ -4x<12 \\ \text{Divide both sides of the inequality by -4} \\ x>-3 \end{gathered}`

Note that unlike equations, when you divide both sides of an inequality by a negative number, the inequality sign flips over to its opposite side. Hence, in this question the sign "less than" has flipped over and its now showing as "greater than."