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Sagot :
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.
[tex]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)[/tex]
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