Which of the following is the solution to the compound inequality below?
3x+5> -1 or -2x-7> 5

For this case we have:

Subtracting 5 from both sides of the inequality:

Dividing between 3 on both sides:

The solution is given by all values of strict x greater than -2.

On the other hand we have:

Adding 7 to both sides:

Dividing between 2 on both sides:

We multiply by -1 on both sides taking into account that the sense of inequality changes:

The solution is given by all values of x less strict to 6.

Finally the solution is:

(-∞, 6) U (-2, ∞)

(-∞, 6) U (-2, ∞)

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:

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58