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A student needs at least 160 signatures from classmates to run for class president. The student collects 45 signatures on Monday and collects enough additional signatures on Tuesday to run for class president. Which inequality represents the number of additional signatures, s, that the student collects on Tuesday?
s + 45 ≤ 160
s + 45 ≥ 160
s − 45 ≤ 160
s − 45 ≥ 160
Zuri has a goal to run at least 16 miles per week while training for a race. This week, she has run 5 miles. If x represents the additional number of miles Zuri needs to run this week to meet her goal, which inequality represents this situation?
5 − x ≤ 16
5 + x ≤ 16
5 − x ≥ 16
5 + x ≥ 16
The minimum value of x is 9 less than 6 times another number n. Which inequality shows the possible values of x?
x ≤ 6n − 9
x ≥ 6n − 9
x ≤ 9 − 6n
x ≥ 9 − 6n
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 9 and 13, which inequality represents the possible lengths, x, of the third side of the triangle?
x < 22
x > 22
4 < x < 22
x < 4 or x > 22
r > 0.07t
The given inequality describes the total rainfall r, in inches, in a certain area over a period of t hours, where t ≤ 4. Which of the following describes this rainfall?
An average rainfall of more than 0.07 inches per hour
An average rainfall of exactly 0.07 inches per hour
A total rainfall of exactly 4 inches
A total rainfall of more than 4 inches