At the local nursery, 5/12 of the plants for sale are flowers and another 1/8 of them are bushes. What fraction of the plants for sale are either flowers or bushes? Write your answer as a fraction that is simplified. *

of the plants for sale are either flowers or bushes.

Step-by-step explanation:

After a careful reading, we conclude that the key part of the statement is: What fraction of the plants for sale are either flowers or bushes? Inside that question, we find the logical operator or, which is equivalent to a sum in algebraic language.

Let be and the fractions of flowers and bushes to be sold at the local nursery. Then, question above is translated into the following expression:

(Eq. 1)

Where is the fraction of plants for sale that are either flowers or bushes, dimensionless.

If we know that and , then the fraction of plants for sale that are either flowers or bushes is:

of the plants for sale are either flowers or bushes.

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: