25.3k views
0 votes
Solve the inequality -2 < 3m - 5 < 7 and graph the solution set.

User Quaker
by
7.9k points

1 Answer

5 votes

Answer:

Explanation:

To solve, we need to isolate m:

-2 < 3m - 5 < 7

Add five to each segment:

-2 + 5 < 3m - 5 + 5 < 7 + 5 ⇒ 3 < 3m < 12

Divide each segment by 3:

3/3 < 3m/3 < 12/3 ⇒ 1 < m < 4

Final answer: 1 < m < 4

When graphing an inequality, an open dot is used for < or >. Since both symbols in the equation are <, the graph has a line with an open dot on 1 and an open dot on 4.

Solve the inequality -2 < 3m - 5 < 7 and graph the solution set.-example-1
User Eapo
by
8.5k points