Answer:
Inequality:
Step-by-step explanation:
Let, x represents the number of portable DVD players and y represent the number of DVD recorders.
As per the statement: An electronics store makes a profit of $33 for every portable DVD player sold and $88 for every DVD recorder sold.
"Profit of $33 for every portable DVD player sold" means 33p
and
"Profit of $88 for every portable DVD recorder sold" means 88r
Also, it is given that the manager’s target is to make at least $264 a day on sales of the portable DVD players and DVD recorders.
⇒ ......[1]
The related equation for the given equation [1] is;
.....[2]
Intercept for this equation is;
x-intercept :
Substitute y=0 in [2] to solve for x;
33x +88(0)= 264
33x = 264
Divide by 33 on both sides, we get;
x = 8
y-intercept
Substitute x = 0 in [2] to solve for y;
33(0)+88y = 264
88y = 264
Divide by 88 on both sides, we get;
y = 3
Graph of the inequality:
First plot or (as a dotted line because not includes equal to).
now, shade the area above (because y is greater than)
Here, p=x represent the number of portable DVD players and r=y represent the number of DVD recorders.
As, you can see the graph of the inequality as shown below in the attachment.