16.1k views
4 votes
What is the solution to 6(x−1)>−18
?

User Paxdora
by
7.9k points

2 Answers

7 votes

To solve the inequality 6(x−1)>−18, we need to isolate x on one side of the inequality. We can do this by dividing both sides of the inequality by 6, but since we're dividing by a negative number, we need to flip the inequality sign:

6(x−1)>−18

x - 1 > -3

Adding 1 to both sides of the inequality gives us:

x > -2

Therefore, the solution to the inequality is x > -2.

User DTRT
by
8.5k points
7 votes

Answer: x > -2

Explanation:

To solve the inequality, we will isolate the given variable.

Given:

6(x − 1) > −18

Distribute the 6 into (x - 1):

6x − 6 > −18

Add 6 to both sides of the inequality:

6x > -12

Divide both sides of the inequality by 6:

x > -2

User Rushikesh J
by
7.9k points