1. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
5(2x – 7) < -8
5(2x-7)<-8
10x -25< -8
10x< 17
x<(17/10)
x<1.7
I think you only change the sign when you move a negative by multiplication or division, so I think the sign is correct.
You might want to reference your book though.
There is an error in the second line.
Should be:
10x - 35 < -8
ah, typo, sorry.
5(2x-7)<-8
10x-35<-8
10x<27
x<2.7
Thanks for your response Adam and Quidditch. You've been a great help!
To solve for x in the inequality 5(2x - 7) < -8, follow these steps:
Step 1: Distribute the 5 to simplify the expression inside the parentheses:
10x - 35 < -8
Step 2: Collect the x terms on the left side by adding 35 to both sides of the inequality:
10x < -8 + 35
10x < 27
Step 3: Divide both sides of the inequality by 10 to isolate x:
x < 27/10
Therefore, the solution to the inequality is x < 2.7