Solve the following problems by setting up an equation or inequality.
a. if two numbers represented by (2m+1) and (2m+5) have a sum of 74, find m.
b. find two consecutive even numbers such that the sum of the smaller number and twice the greater number is 100.
c. if 9 is subtracted from a number, and the result is multiplied by 19, the product is 171. find the number.
d. the product of two consecutive whole numbers is less than the sum of the square of the smaller number and 13.

the 3rd option is right

step-by-step explanation:

i believe a. 12x≥120 is the answer

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200