Okay, actually the previous answers are incorrect because the lines on the sides of 4y-3 means that it's an absolute value inequality. So to get rid of the absolute value signs, you have to set up two inequalities:
4y-3>10 and 4y-3<-10
Just remember that since your inequality is greater than then on a number line it will look like the two arrows pointing to opposite sides to infinity. Do not try to write a greater than inequality as one triple inequality. That you can only to with less than inequalities.
Now solve the two above:
No solve the other:
So your final answer going to be two separate values for y: y>13/4 and y<-7/4
So picturing this on a number lines y CANNOT be any number from -7/4 to 13/4 but it can be anything else!
Hope this helped! HAPPY MATHING!
|4y-3| > 10
=> |4y| > 10+3
=> |4y| > 13
=> |y| > 13/3
4y - 3 > 10.
Add 3 to get rid of the - 3 on the left so you have: 4y > 10 + 3 ---> 4y > 13
Then divide 4y by 4 and do the same to the right hand side and you have: y > 13/4 OR y > 3.25.
@avip - you made a mistake at the end. The division is by 4.