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Problems with Inequalities: Mastery Test
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Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the meal is
$12. There is also a $10 charge for the room. The number of friends, f, that Carrie can invite is represented by the inequality 127+ 10 < 75.
How many friends can Carrie invite to the party if her budget is $75 or less?
А.
5
B
6
OC.
8
OD
10
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y=mx+b

step-by-step explanation:

m slope

b y-intercept

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.