Solve for a variable using properties of multiplication

Full solution

1

. Solve each inequality alg Please circle or box your

\newline

5-t>3

\newline

5-1073

Solve First Inequality: First, let's solve the inequality $5 - t > 3$ . $\newline$ Subtract $5$ from both sides to isolate the variable $t$ . $\newline$ $5 - t - 5 > 3 - 5$
First Inequality Solution: Now, we have $-t > -2$ . To solve for $t$ , we need to divide both sides by $-1$ , remembering to flip the inequality sign because we're dividing by a negative number. $\frac{-t}{-1} < \frac{-2}{-1}$
Solve Second Inequality: After dividing, we get $t < 2$ . $\newline$ This is the solution to the first inequality.
Second Inequality Solution: Next, let's solve the inequality $5 - t < 7$ . $\newline$ Subtract $5$ from both sides to isolate the variable $t$ . $\newline$ $5 - t - 5 < 7 - 5$
Second Inequality Solution: Next, let's solve the inequality $5 - t < 7$ . $\newline$ Subtract $5$ from both sides to isolate the variable $t$ . $\newline$ $5 - t - 5 < 7 - 5$ Now, we have $-t < 2$ . $\newline$ To solve for $t$ , we need to divide both sides by $-1$ , remembering to flip the inequality sign because we're dividing by a negative number. $\newline$ $-t / -1 > 2 / -1$
Second Inequality Solution: Next, let's solve the inequality $5 - t < 7$ . $\newline$ Subtract $5$ from both sides to isolate the variable $t$ . $\newline$ $5 - t - 5 < 7 - 5$ Now, we have $-t < 2$ . $\newline$ To solve for $t$ , we need to divide both sides by $-1$ , remembering to flip the inequality sign because we're dividing by a negative number. $\newline$ $-t / -1 > 2 / -1$ After dividing, we get $t > -2$ . $\newline$ This is the solution to the second inequality.