An online music store is offering a promotion. When you spend $45 or more, you receive 3 songs for free. You buy an album for $15. Identify the inequality that represents how much more money m you must spend to receive the three free songs.

x ≥ $30.

Where x is the amount of money that you need to spend if you want to have the 3 free songs.

Step-by-step explanation:

When you spend $45 or more, you get 3 free songs.

You already bought an album that costs $15, then the minimum amount that you need to spend is (when you spend exactly $45):

$45 - $15 = x = $30.

Then the inequality is:

x ≥ $30.

Because if you spend more than $45 you also get the songs.

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step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be