Question

14 − 3x < −1 What is x?

Answer 1

$14 -3x< -1\\\\\implies -3x < -1 -14\\\\\implies -3x< -15\\\\\implies x> \dfrac{-15}{-3}~~~~~~;[\text{Reverse the inequality when multiplying}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~\text{or dividing by a negative number.}]\\\implies x> 5\\\\ \ \text{Interval,}~(5,\infty)$

Answer 2

Answer:

Step-by-step explanation:

14 -3x < -1, subtract 14 from both sides

    -3x < -1 -14, combine like terms

    -3x < -15, divide both sides by -3

        x > 5

! when solving inequalities if we multiply or divide by a negative number the sense of inequality changes.