Question

8x-5>1 This is my first time on here. I am trying to take a course online and have gotten behind. need to see this broken down how it would be solved. and checked. detailed explanation so I can learn it would be awesome

Answer 1

metal please

Answer 2

> 3/4

Answer 3

8x-5>1
separate the variable ; maintain the inequality
what you do to one side also do to the other
and +5 to each side
8x -5 + 5 > 1 + 5
8x >6
divide by the coefficient of the variable to get 1*x
for this problem you have 8x so divide by 8
any change to one side do same to the other to keep the balance
8x/8>6/8
x >6/8
6/8 can be simplified by dividing by 2 6/2 = 3 and 8/2 = 4 so 6/8 = 3/4
x > 6/8 same as x > 3/4

to check, pick a value in the solution and do one side of the original problem and see how it relates to the other
x > 3/4 let's pick 3
8x-5 = 8(3)-5 = 24-5 =19
8x-5 > 1
when x = 3 19 > 1 so it's in the solution set