1. Why does the inequality sign change when both sides of the inequality are multiplied or divided by a negative number? Does this happen with equations? Why or why not?
2. Write an inequality for your classmates to solve. In your inequality, use both the multiplication and addition properties of inequalities. Example: 3x + 5 < 5x + 17
I answered the first part can I get some help on number 2??
wym it waste ur time, u dont have to look:/
Sure! I can help you with the second part. Here's an example of an inequality using both the multiplication and addition properties:
2x - 3 > 4x + 7
In this inequality, we are subtracting 3 from 2x and adding 7 to 4x. To solve it, you can follow these steps:
1. Subtract 2x from both sides of the inequality:
2x - 2x - 3 > 4x - 2x + 7
-3 > 2x + 7
2. Subtract 7 from both sides of the inequality:
-3 - 7 > 2x + 7 - 7
-10 > 2x
3. Divide both sides of the inequality by 2 (since we want to isolate x):
-10 / 2 > 2x / 2
-5 > x
So the solution to the inequality is x < -5.
Of course! I can help you with the second part of your question.
To write an inequality using both the multiplication and addition properties of inequalities, you can start by choosing a variable and then create an expression using that variable.
For example, let's say we choose the variable "y". We can write an inequality as follows:
2y + 5 > 3y - 2
In this inequality, we have used both multiplication (multiplying "y" by 2) and addition (adding 5) properties of inequalities.
Now, your classmates can solve this inequality by isolating the variable "y" on one side. To do this, they can start by subtracting 2y from both sides of the inequality:
2y + 5 - 2y > 3y - 2 - 2y
Simplifying, we get:
5 > y - 2
Next, they can add 2 to both sides to isolate "y":
5 + 2 > y - 2 + 2
Simplifying further:
7 > y
So, the solution to this inequality is "y is less than 7".
I hope this helps! Let me know if you have any further questions.