Question

Which inequality is true for all real numbers? check all that apply.

1.a – b < a + b
2.ac ≥ bc
3.If a ≥ b, then a + c ≥ b + c
4.If c > d, then a– c < a – d
5.If a < b, then a < b + c

Answer 1

Answers 3 and 4

Explanation:

Got it right

Answer 2

3. If a ≥ b, then a + c ≥ b + c

4. If c > d, then a– c < a – d

Explanation:

The inequalities 3 and 4 are the right ones, because they are actually properties of inequalities.

The other choices aren't correct. For example, the first choice: a – b < a + b, it's not true, because you must apply the same change at each side of the inequality, otherwise you'll ruin the expression.

Choices 2 and 5 are also false.

Therefore, the right answers are 3 and 4.