Question

checking solutions to inequalities
tell whether the given value (the number after the semi-colon ) is a solution of the inequality.
$9 \geq 3n + 6; n = 1$
$-8.4 > -5z + 2.4; z = 1.6$
is n = 1 a solution? select
is z = 1.6 a solution? select

Explanation:

For \( 9 \geq 3n + 6; n = 1 \)

Step1: Substitute \( n = 1 \) into the inequality

Substitute \( n = 1 \) into \( 3n + 6 \), we get \( 3\times1 + 6 = 3 + 6 = 9 \).

Step2: Check the inequality

The original inequality is \( 9 \geq 3n + 6 \). After substitution, we have \( 9 \geq 9 \), which is true.

Step1: Substitute \( z = 1.6 \) into the inequality

Substitute \( z = 1.6 \) into \( -5z + 2.4 \), we get \( -5\times1.6 + 2.4 = -8 + 2.4 = -5.6 \).

Step2: Check the inequality

The original inequality is \( -8.4 > -5z + 2.4 \). After substitution, we have \( -8.4 > -5.6 \), which is false because \( -8.4 \) is less than \( -5.6 \).

Answer:

Yes

For \( -8.4 > -5z + 2.4; z = 1.6 \)