Question

Use the inequality t - 1/3_>25/15 to answer the following questions. A) Solve the inequality for t. B) Plot the solution on the number line. C) Enter the solution in interval notation.

Answer 1

We are given : t-1/3 ≥ 25/15

take note that 25/15 is the same as 5 /3 ,

(A) So we can rewrite the above inequality as follows:

t - 1/3≥ 5/3

→ t ≥ 5/3 + 1/3

t ≥ 6/3

∴ t ≥ 2

(B) see the number line below :

(c) interval notation : [ 2;∞)