Determine whether the given numbers are solutions of the inequality.
4, -11, -19, -1
y-8>2y-3
Are any of these numbers a solution of the inequality?
Which are not?
My answer is none of them are a solution because the answer to the inequality is -5. Or am I completely wrong?
subtract y from each side add 3 to each side.
-5>y
so y is less than -5....
To determine whether the given numbers are solutions of the inequality y - 8 > 2y - 3, we need to substitute each number into the inequality and see if the inequality holds true.
Let's start with the number 4:
4 - 8 > 2(4) - 3
-4 > 8 - 3
-4 > 5
Since -4 is not greater than 5, this means 4 is not a solution of the inequality.
Next, let's try the number -11:
-11 - 8 > 2(-11) - 3
-19 > -22 - 3
-19 > -25
Since -19 is greater than -25, this means -11 is a solution of the inequality.
Now let's test the number -19:
-19 - 8 > 2(-19) - 3
-27 > -38 - 3
-27 > -41
Since -27 is greater than -41, this means -19 is also a solution of the inequality.
Lastly, let's check the number -1:
-1 - 8 > 2(-1) - 3
-9 > -2 - 3
-9 > -5
Since -9 is not greater than -5, this means -1 is not a solution of the inequality.
Therefore, out of the given numbers, the solutions of the inequality y - 8 > 2y - 3 are: -11 and -19. The numbers 4 and -1 are not solutions of the inequality.