For her birthday, Samantha received a gift card, with a value of $350, to a department store. She wants to purchase at least 5 articles of clothing for work. At the store, sweaters cost $21.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card, which system of inequalities could be used to determine the number of sweaters, s, and the number of dress pants, p, she can buy? A. S + p < 5 $21.49s + $36.99p < $350 B. S + p > 5 $21.49s + $36.99p < $350 C. S + p > 5 $36.99s + $21.49p < $350 D. S + p < 5 $21.49s + $36.99p > $350

B. s + p > 5, $21.49s + $36.99p < $350

Step-by-step explanation:

Let us represent

Sweater = s

Pants = p

For her birthday, Samantha received a gift card, with a value of $350, to a department store.

She wants to purchase at least 5 articles of clothing for work.

At least means , More than 5 articles of clothing

Hence:

s + p > 5

At the store, sweaters cost $21.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card

She does not spend more than $350

This means , she spends less than $350

Hence:

$21.49s + $36.99p < $350

Option B is the correct answer

B. s + p > 5, $21.49s + $36.99p < $350

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is