Choose the correct solution in roster form. 1. S is the set of prime numbers that are less than 15

A.{2,3,5,7,11,13}

B.{2,3,5,7,9,11,13}

C.{1,3,5,7,9,11,13}

D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14 ,15}

2.write the solution to the inequality in set-builder notation.

9t-4>32

A.{t| t>4}

B.{t| t>6}

C.{t| t>28}

D.{t| t>36}

1)A.{2,3,5,7,11,13}

2) A.{t| t>4}

Step-by-step explanation:

Choose the correct solution in roster form.

1. S is the set of prime numbers that are less than 15

The Definition of a prime number is given as follows:

A prime number can be defined as the number number that can only be divisible of divided by 1 and itself

Hence the list of prime number below 15 is given as:

2, 3, 5, 7, 11 and 13

Hence, option A.{2,3,5,7,11,13} is correct

2. Write the solution to the inequality in set-builder notation.

9t-4>32

Solving for the given inequality

9t > 32 + 4

9t > 36

t >36/9

t > 4

Therefore, the solution to the inequality in set-builder notation is:

Option A.{t| t>4}

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

35 is an outlier

step-by-step explanation: