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Which of the
s-values satisfy the following inequality?

7-(s)/(2) > 3
Choose all answers that apply:
A
s=6
B
s=8
C
s=10

Which of the $s$ -values satisfy the following inequality? $\newline$ $7-\frac{s}{2}>3$ $\newline$ Choose all answers that apply: $\newline$ A $s=6$ $\newline$ B $s=8$ $\newline$ C $s=10$

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Solutions to inequalities

Full solution

Q. Which of the

s

-values satisfy the following inequality?

\newline

7-\frac{s}{2}>3

\newline

Choose all answers that apply:

\newline

A

s=6

\newline

B

s=8

\newline

C

s=10

Move terms without $s$ : Isolate $s$ by moving all terms not containing $s$ to the other side of the inequality. $7 - \left(\frac{s}{2}\right) > 3$ Subtract $7$ from both sides to get: $-\left(\frac{s}{2}\right) > 3 - 7$
Calculate right side: Calculate the right side of the inequality. $-\left(\frac{s}{2}\right) > -4$
Multiply by $-2$ : Multiply both sides by $-2$ to solve for $s$ . Remember that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign. $\newline$ $-\left(\frac{s}{2}\right) \cdot (-2) < -4 \cdot (-2)$ $\newline$ $s < 8$
Check $s$ -values: Now we check which of the given $s$ -values satisfy the inequality $s < 8$ . $\newline$ A) $s = 6$ : Since $6$ is less than $8$ , this value satisfies the inequality. $\newline$ B) $s = 8$ : Since $8$ is not less than $8$ , this value does not satisfy the inequality. $\newline$ C) $s = 10$ : Since $s$ $0$ is greater than $8$ , this value does not satisfy the inequality.

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