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Which of the following is not a solution of the inequality -8 < 7-5x ? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ $\newline$ (B) $1$ $\newline$ (C) $2$ $\newline$ (D) $3$

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Does (x, y) satisfy the inequality?

Full solution

Q. Which of the following is not a solution of the inequality

-8 < 7-5x

?

\newline

Choose

1

answer:

\newline

(A)

0

\newline

(B)

1

\newline

(C)

2

\newline

(D)

3

Write and Solve Inequality: Write down the inequality and solve for $x$ . $\newline$ -8 < 7 - 5x $\newline$ Add $5x$ to both sides to isolate the $x$ term on one side: $\newline$ 5x - 8 < 7
Isolate x Term: Add $8$ to both sides to isolate the constant term on the other side: $\newline$ 5x < 15
Isolate Constant Term: Divide both sides by $5$ to solve for $x$ : x < 3
Solve for x: Now, we need to check which option is not a solution to the inequality x < 3. $\newline$ (A) $0$ is less than $3$ , so it is a solution. $\newline$ (B) $1$ is less than $3$ , so it is a solution. $\newline$ (C) $2$ is less than $3$ , so it is a solution. $\newline$ (D) $3$ is not less than $3$ , it is equal to $3$ , so it is not a solution.

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