Determine whether the given numbers are solutions of the inequality.
1, -17, -19, 3
y-10 > 2y-4
Is 1 a solution?-17?-19?-3???
I will try the -19
-19 - 10 > - 38 - 4
-29 > - 42
Is this true?
If it is true, then -19 is a solution to the inequality.
do the same with the others.
To determine if a given number is a solution of an inequality, you need to substitute the number into the inequality and verify if the inequality holds true.
Given inequality: y - 10 > 2y - 4
Let's check if the numbers 1, -17, -19, and 3 are solutions:
1. Substitute 1 into the inequality:
1 - 10 > 2(1) - 4
-9 > -2
The inequality is true. Therefore, 1 is a solution.
2. Substitute -17 into the inequality:
-17 - 10 > 2(-17) - 4
-27 > -38
The inequality is true. Therefore, -17 is a solution.
3. Substitute -19 into the inequality:
-19 - 10 > 2(-19) - 4
-29 > -42
The inequality is true. Therefore, -19 is a solution.
4. Substitute 3 into the inequality:
3 - 10 > 2(3) - 4
-7 > 2
The inequality is false. Therefore, 3 is not a solution.
In summary:
- 1, -17, and -19 are solutions of the inequality.
- 3 is not a solution of the inequality.