Liliana solved the equation below. When she tried to verify her answer, she realized she made an error. One-third (x + 18) = 7 One-third x + 6 = 7 One-third x + 6 minus 6 = 7 + 6 One-third x = 1 x = 3 Which correction should Liliana make? The first step should be One-third x + 54 = 7. The second step should be One-third x + 6 minus 6 = 7 minus 6. The third step should be One-third x = 13. The final step should be x = one-third.

this is a very good question

step-by-step explanation:

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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:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is