Math  /  Algebra

QuestionA solution set always includes A all the numbers that make the inequality false.
B all the numbers that make the inequality true. c zero and infinity.
D negative infinity.

Studdy Solution

STEP 1

What is this asking? Which numbers are included in the solution set of an inequality? Watch out! Don't confuse the solution set with numbers that make the inequality false or irrelevant concepts like zero and infinity!

STEP 2

1. Understand what a solution set is
2. Identify the correct option

STEP 3

Alright, let's break this down!
A **solution set** is all about finding the numbers that make an inequality **true**.
When you have an inequality, you're looking for those special numbers that satisfy it.
So, if you plug these numbers into the inequality, it holds true!

STEP 4

For example, if you have an inequality like x>3 x > 3 , the solution set includes all numbers greater than 3.
Why? Because plugging any number greater than 3 into the inequality keeps it true!

STEP 5

Now, let's look at the options!
We want the option that includes all numbers making the inequality **true**.

STEP 6

Option A talks about numbers making the inequality false.
That's not what we're looking for!

STEP 7

Option B is about numbers making the inequality true.
Bingo! That's our winner!

STEP 8

Options C and D mention zero, infinity, and negative infinity.
These don't typically define a solution set for inequalities.
They're more about limits and boundaries.

STEP 9

The correct answer is **B: all the numbers that make the inequality true**.

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