Hello Guys, I really need help with these questions. Here they are. Solve each absolute value inequality and show its solution set.
(a) |x|<7
(b) |x+3|<9
(c) |y-8|>11
(g) |3x-1| greater or equal to 18
|4y+3| less than or equal to 13
Please help me with these. WIll give 20 pts. I will award for the best answer!

Step-by-step explanation:

Ok, so first...

a) if x is positive, it will remain x, so *x<7*

b) if x+3 is positive, it will be x+3<9 but you have to simplify it so you subtract 3 on both sides and get *x<6*

c) if y-8 is positive, it will stay like that, and you then add 8 on both sides to get *y>19*

g) if 3x-1 is positive, it will be 3x-1 greater than or equal to 18. add 1 on both sides and *3x > or = to 18*

4y+3 < or = 13. subtract 3 on both sides and you get *4y < or = 13*

One more thing:

Less than or equal to is a '<' with a line underneath.

Greater than or equal to is a '>' with a line underneath.

step-by-step explanation:

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