Question

9) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

-13t≤78

A. t<-6
B. t≤6
C. t>6
D. t>-6

10) For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make
the inequality a true statement when substituted for "t"? (The integers for -10 through 10 are shown below.)
(-10,-9,-8,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

Answer 1

see explanation

Explanation:

solving the inequality

- 13t ≤ 78

divide both sides by - 13, reversing the symbol as a result of dividing by a negative quantity.

t ≥ - 6

this means that any value of t greater than 6, including 6, is a solution.

listing the solutions from - 10 through to 10 that are solutions when substituted for t

- 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6