Question

Translate the sentence into an inequality.

A number n is at most −116.

The minimum value of a number n is -40.

Five times the sum of a number and four is less than seven times the number. Find the smallest integer that satisfies the inequality.

Company A rents cars for $25 per day and 8¢ per mile driven. Company B rents cars for $16 per day and 15¢ per mile driven. You want to rent a car for one day. Find the maximum number of miles you can drive a Company B car if it is to cost you less than a Company A car. (Give your answer as a whole number.)

Answer 1

1)A number n is atmost -116

$n\le -116$

2)The minimum value of a number n is -40

$n\ge -40$

3)Five times the sum of a number and four is less than seven times the number

Let the number be n

5(n+4)<7n

5n+20<7n

20<2n

10<n

The smallest integer that satisfies the inequality is 11.

4)Let the total number of miles driven be x

25+0.08x>16+0.15x

9>0.07x

900>7x

128.57>x

the maximum number of miles you can drive a Company B car if it is to cost you less than a Company A car is 128.