math geniuses pls help me!!?

Question

solve the inequality and indicate the solution set.

2x-3 > -12 or 2x-1<-1

Answer 1

1) 2x-3 > -12
add 3 to both sides ...2x>-9
divide by 2... x>-9/2
2) 2x-1<-1
add 1 to both sides... 2x<0
divide by 2 ...x<0
so x is larger than -9/2 and smaller than 0
therefore the interval for x; -9/2

Answer 2

x>9/2 or x<0

Answer 3

First, because the two inequalities are linked by OR, we are looking for the places where one or both of the inequalities are true.

2x-3 > -12
2x > -9
x > -4.5

2x-1<-1
2x <0
x<0

Draw a numberline on your paper if it helps you visualize.

For x>-4.5, shade right of -4.5 with an open circle on -4.5
For x<0, shade left of 0 with an open circle on 0.

Notice that the shadings intersect and cover the whole numberline. Thus the solution is all values of x

Answer 4

x is greater than -9/2 or x is less than 0

Answer 5

2x-3>-12 or 2x-1<-1
2x>-12+3 2x<0
2x>-9 x<0
x>-4.5

-4.5