What do you notice about the solution of the compound inequality x+3>3 or x+3< (or equal) 3?
I don't understand what the question is asking. Some please help.
the solution is all numbers, since every number is either greater than 3 or less than or equal to 3.
let z=x+3
z>3; z<=3
so z is all numbers, so x+3 is all numbers
The question is asking you to analyze the solution of a compound inequality. To understand the problem, let's break it down step by step.
First, the compound inequality given is:
x + 3 > 3 or x + 3 < 3
To find the solution, we need to consider two separate inequalities and then combine their solutions.
Let's handle each inequality individually:
Inequality 1: x + 3 > 3
To solve this inequality, we want to isolate the variable x. Let's start by subtracting 3 from both sides:
x + 3 - 3 > 3 - 3
x > 0
Therefore, the solution for the first inequality is x > 0.
Inequality 2: x + 3 < 3
Similar to the previous inequality, we'll isolate x by subtracting 3 from both sides:
x + 3 - 3 < 3 - 3
x < 0
So, the solution for the second inequality is x < 0.
Now, let's combine the solutions of these two inequalities:
The compound inequality is x > 0 or x < 0.
This means that any value of x that is greater than 0 or less than 0 will satisfy the compound inequality.
In summary, the solution to the compound inequality x + 3 > 3 or x + 3 < (or equal to) 3 is x > 0 or x < 0.