Catherine has $54. she plans to spend more than $20 of the money for a painting canvas. the rest will go toward paints. each tube of paint costs $8.50. assume that x represents the number of tubes of paint catherine can buy.
the inequality that best represents this scenario is a. 8.5x + 20 > 54 b. 8.5x - 20 < 54 c. 54 - 8.5x < 20 d. 54 - 8.5x > 20
the number of tubes of paint catherine can buy is a. at least 5 b. more than 4 c. less than 4 d. more than 5

Step 1

Let

x-------> represents the number of tubes of paint Catherine can buy

y------> the money to spend for a painting canvas

we know that

------> inequality A

------> equation B

substitute equation B in inequality A

therefore

the answer part a) is

The inequality that best represents this scenario is

Step 2

Solve the inequality

--------->

therefore

the answer Part b) is the option C

less than

i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: