Question

how do you solve 3x + 5 > 14

Answer 1

$3x+5>14$

To solve an inequality as given:

-When a term is being added you substract it in both sides of the inequality

-When a term is being substracted you add it in both sides of the inequality

-When a term is being divided you multiply both sides of the inequality for it

-When a term is being multiplied you divide both sides of the inequality into that term

-If you multiply or divide both sides of the inequality by (-1) or a negative number the inequality sing changes of direction:

Example:

$-5x>10$

To solve for x you divide both sides of the equation into (-5):

$\begin{gathered} \frac{-5}{-5}x<\frac{10}{-5} \\ \\ x<-2 \end{gathered}$

As you can see the inequality sing changes from > to <

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Then, for the given inequality:

$\begin{gathered} 3x+5-5>14-5 \\ 3x>9 \\ \\ \frac{3}{3}x>\frac{9}{3} \\ x>3 \end{gathered}$The solution for the given inequality is x > 3 (x greather than 3)