SOLUTION: Hi. im in 10th grade honors algebra 2/trig. i have a test tomorrow and i dont remember how to solve a type of problem thats going to be on it. its one of the problems when youre gi

Click here to see ALL problems on absolute-value

Question 910237: Hi. im in 10th grade honors algebra 2/trig. i have a test tomorrow and i dont remember how to solve a type of problem thats going to be on it. its one of the problems when youre given the coordinate plane with an absolute value graph and its shaded at the top and the line is dashed so its like an absolute value inequality. when just the graph is given, how do i solve from there?
Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!
That is much like handling the graph of a line; except the way you described, the line is excluded from the solution, and the absolute value is a strict inequality. Identify the related line! You should be able to determine the slope and the y-intercept from the line. Form the equation or the relation of the line in, for convenience, slope-intercept form, .

"Shading on the top", is showing you that the solution region for the inequality is GREATER THAN y. You can then form your inequality statement as .

If the exercise or test item tells you to use a different form than slope-intercept , then make the suitable steps to put the inequality into the form as instructed in the exercise or test item.