tell whether the point (9,3) is a solution of the inequality 4x-5y<26
i know it's really easy but i'm being incredibly lazy right now.
<< i know it's really easy but i'm being incredibly lazy right now. >>
You are so right.
It is very easy, and I could give you a solution in about 20 seconds.
But, that would only encourage and support your "incredibly lazy" trait you admit to have, and surely you wouldn't want me to do that ???
I would, actually =)
No problem! I can help you determine whether the point (9,3) is a solution to the inequality 4x - 5y < 26.
To check if the point (9,3) is a solution, substitute the x and y values into the inequality and see if the inequality holds true.
Here's how you can do it:
Step 1: Replace x with 9:
4(9) - 5y < 26
Simplifying the equation:
36 - 5y < 26
Step 2: Subtract 36 from both sides of the inequality:
-5y < 26 - 36
-5y < -10
Step 3: Divide both sides of the inequality by -5. Note that when you divide an inequality by a negative number, the inequality sign flips.
y > -10 / -5
y > 2
So, the inequality becomes:
y > 2
Step 4: Replace y with 3:
3 > 2
Since the inequality statement 3 > 2 is true, we can conclude that the point (9,3) is a solution to the inequality 4x - 5y < 26.
I hope this helps! Let me know if you have any other questions.
No problem, I'm here to help! To determine whether the point (9,3) is a solution of the inequality 4x-5y < 26, we need to substitute the values of x and y from the point into the inequality and see if it holds true.
Let's plug in the values of x and y into the inequality:
4(9) - 5(3) < 26
Simplifying, we get:
36 - 15 < 26
Now, calculate the left side of the inequality:
21 < 26
Since 21 is indeed less than 26, the inequality 4x-5y < 26 holds true for the point (9,3).
Therefore, the point (9,3) is indeed a solution to the inequality 4x-5y < 26.