Determine whether the given numbers are solutions of the inequality.
t - 8 > 2t - 3
The given numbers are: 0, 3.3, -9, -3
I understand the problem and how to figure it out. Its just that when I tried this problem, none of the numbers worked. Did any work for you?
Thanks in advance!
I would solve the inequation:
t - 8 > 2t - 3
-t > 5
t < -5
now it is easy to see that only -9 would work.
Thank you so mcuh for your help! I completely understand it now!
To determine whether the given numbers are solutions of the inequality, we substitute each number into the inequality and check if it is true. Let's go through each number one by one:
1. Substitute 0 into the inequality:
0 - 8 > 2(0) - 3
-8 > -3
Here, the inequality is not true since -8 is not greater than -3.
2. Substitute 3.3 into the inequality:
3.3 - 8 > 2(3.3) - 3
-4.7 > 6.6 - 3
-4.7 > 3.6
Again, the inequality is not true since -4.7 is not greater than 3.6.
3. Substitute -9 into the inequality:
-9 - 8 > 2(-9) - 3
-17 > -21 - 3
-17 > -24
Once more, the inequality is not true as -17 is not greater than -24.
4. Substitute -3 into the inequality:
-3 - 8 > 2(-3) - 3
-11 > -6 - 3
-11 > -9
Finally, the inequality is true as -11 is indeed greater than -9.
Based on our calculations, only the number -3 is a solution to the inequality given in the problem. The other given numbers did not satisfy the inequality.