The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options. {n | n < 3} {n | n ≥ 3} A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5. A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5. (3, [infinity])

An open circle appears at positive 3

(3,∞)

Step-by-step explanation:

Given:

The solution set:  n > 3

This means n is greater than 3

The option:

A number line going from negative 5 to positive 5.

is not correct because n is greater than positive 3 whereas the number line here includes negative value i.e. from negative 5.

The option:

The number line is shaded from positive 3 to positive 5

is not correct because the number line is shaded from positive 3 and positive 5 which shows inequalities. This means that both positive 3 and positive 5 are included but n>3 represents greater than 3 and this means that set does not contain an equal to 3. So this statement is not correct.

The option:

The number line is shaded from positive 3 to negative 5

is also not correct because number line is shaded from positive 3 to negative 5 but n>3 means that the set does not contain less than 3. So 3 to -5 includes numbers like 2, 1, 0, -1 and so on to negative 5 (-5) so this is also not correct.

The option:

An open circle appears at positive 3

is true because open circle is used for less than or greater than terms. Since the solution set is greater than 3 (n>3) so the open circle at positive 3 represents greater than 3. So the set contains greater than 3. Hence this statement is true.

The option:

(3,∞)

is correct because the solution set is greater than 3 so the arrow should be pointing to the right. So it is greater than and the ending limit is not mentioned so it goes up till infinity. The round brackets shows that the number 3 and ∞ are excluded so this correctly represents the solution n>3. Hence this statement is also true.

b

step-by-step explanation:

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24