Question

Tell whether the value is a solution of the inequality

Answer 1

True because -2(-5)+4 is 10+4 “ 14

Answer 2

$\huge \boxed{\mathfrak{Question} \downarrow}$

• Tell whether the value is a solution of the inequality. $\sf\:14 \geq - 2 n + 4, n = - 5$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$14 \geq - 2 n + 4$

Swap sides so that all variable terms are on the left-hand side. This changes the sign direction.

$-2n+4\leq 14$

Subtract 4 from both sides.

$-2n\leq 14-4$

Subtract 4 from 14 to get 10.

$-2n\leq 10$

Divide both sides by -2. As -2 is <0, the inequality direction has changed.

$n\geq \frac{10}{-2}$

Divide 10 by -2 to get -5.

$\huge \boxed{ \boxed{ \bf \: n\geq -5 }}$

• So, YES, the given value is a solution of the inequality.