Question

Solve the inequality. Write your

answer in set notation.
2x ≥ 8 or - 2x +1> -13
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Answer 1

x ∈ ℝ

Explanation:

You want the solution set to the system of inequalities ...

• 2x ≥ 8, or
• -2x +1 > -13

Solutions

The solution to the first inequality is ...

2x ≥ 8

x ≥ 4 . . . . . divide by 2

The solution to the second inequality is ...

-2x +1 > -13

14 > 2x . . . . . add 2x+13

7 > x . . . . . divide by 2

Solution set

The set of solutions is the union of these two intervals:

4 ≤ x or x < 7

These intervals overlap, and include all real numbers.

The solution set is ...

x . . . . . where ℝ signifies all real numbers

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