This inequality can be read as "y is less than 3 and y is greater than -2 plus x."
To graph this inequality, we can first rewrite it as: y < 3 y > -2 + x
From the first inequality, we draw a dashed horizontal line at y = 3, since the inequality is only < (not ≤). Then, shade below the line to represent y < 3.
From the second inequality, we rearrange it to: y - x > -2
This can be rewritten as: y > x - 2
Now, we graph the line y = x - 2, noting that it is a solid line because the inequality in this case is > (not ≥). Shade above this line to represent y > x - 2.
The area where both shaded regions overlap represents the solution set for the inequality.
This inequality can be read as "y is less than 3 and y is greater than -2 plus x."
To graph this inequality, we can first rewrite it as:
y < 3
y > -2 + x
From the first inequality, we draw a dashed horizontal line at y = 3, since the inequality is only < (not ≤). Then, shade below the line to represent y < 3.
From the second inequality, we rearrange it to:
y - x > -2
This can be rewritten as:
y > x - 2
Now, we graph the line y = x - 2, noting that it is a solid line because the inequality in this case is > (not ≥). Shade above this line to represent y > x - 2.
The area where both shaded regions overlap represents the solution set for the inequality.