Question

Which of the following is the graph of the solution set of t – 4 ≥ 4t + 8 or 3t >14 – 4t?

Answer 1

Option (C)

Explanation:

There are two inequalities,

t - 4 ≥ 4t + 8 ------(1)

3t > 14 - 4t ------(2)

By simplifying inequality (1),

t - 4 ≥ 4t + 8

t ≥ 4t + 8 + 4

t ≥ 4t + 12

t - 4t ≥ 12

-3t ≥ 12

t ≤
`(12)/((-3))`

t ≤ -4

By solving inequality (2),

3t > 14 - 4t

3t + 4t > 14

7t > 14

t >
`(14)/(7)`

t > 2

From the given graphs, Option (C) will be the answer.