solve using the addition principle.
-6+x>5
I have not done one of these problems with the less and greater sign... can someone please help me? thanks
Well, when working with the less and greater signs (or inequalities as they are called), you can always work in the same as you would do with normal equation (in other words, just replace the less and greater signs with an equals sign).
So for this equation you would get:
-6+x=5 if and only if
x=5+6 if and only if
x=11
Now, in the final step, you replace the equals sign back with the greater sign, so you get:
x<11
When working with inequalities, you have to keep one thing in mind:
if you multiply each side of your inequality with a negative number, you have to change your less sign into a greater sign, and vice versa.
e.g. -5x > 10
if you multiply both sides with -(1/5), then you have to change the greater sign into a less sign:
x < -2
thank you so much, I wrote down your helpful tips appreciate it
Of course! I'd be happy to help you solve the inequality using the addition principle.
To solve an inequality using the addition principle, we want to isolate the variable on one side of the inequality. Let's work through it step by step:
1. Start with the original inequality: -6 + x > 5.
The inequality symbol is ">," which means "greater than."
2. To isolate the variable "x," we need to get rid of the constant term (-6) on the same side as "x."
3. In order to remove -6 from the left side, we can add 6 to both sides of the inequality.
-6 + x + 6 > 5 + 6 simplifies to x > 11.
4. The final result is x > 11, which means the value of "x" must be greater than 11 for the inequality to be true.
To summarize, by adding 6 to both sides of the inequality, we were able to isolate the variable "x" and find that "x" must be greater than 11 for the inequality -6 + x > 5 to be true.
I hope this explanation helps! Let me know if you have any further questions.