Question

Solve the compound inequality, showing your work. Name the solution set and then draw the graph of the solution set. y - 2 < -5 or y - 2 > 5

Answer 1

y - 2 < -5
or y - 2 > 5

so lets work with the first part:
y - 2 < -5
we want to have y by itself, so +2 to both sides:
y - 2 < -5
y - 2 +2 < -5 +2
y +0 < -5 +2
y < -3

now you try the same method for your side: y - 2 > 5

Answer 2

how would this be graphed?

Answer 3

2nd inequality: y – 2 > 5 add +2 to both sides
y – 2 + 2 > 5 + 2 solve
y > 7

Answer 4

so first draw your number line.

looking back at this eq: y < -3
it says that the value of y will be less than -3,
so the 'less than' means we put an empty circle at the -3
and since y is less than -3 that means we shade the lie to the left of -3

Answer 5

and then I just put i full circle where '7' is since thats the second inequality?

Answer 6

good work on the simplifying the second inequality ^_^


we only put a 'full circle' when its 'greater than or eqaul to' and when 'less than or equal to'

we have only a 'greater than' so at 7, it will be an empty circle

Answer 7

oh right, thanks for all the help i understand how to do this a lot better now.

Answer 8

^_^