Question

Solve the following compound inequalities. Use both a line graph and interval notation to write each solution set.

t + 1 < - 5 or t + 1 > 5

Answer 1

(-∞, -6) ∪ (4, ∞)

See attached for a graph

Explanation:

You want a line graph and interval notation to write the solution set for ...

t + 1 < - 5 or t + 1 > 5

t + 1 < - 5

Subtract 1 from both sides to see the solution:

t < -6

In interval notation, this is (-∞, -6).

t + 1 > 5

Subtract 1 from both sides to see the solution:

t > 4

In interval notation, this is (4, ∞).

Solution set

The solution to the compound inequality is ...

(-∞, -6) ∪ (4, ∞)

The graph is attached.