can you check these tell if the number after the: color is a solution
x < 7; 7 i say yes
p > -3;3 i say yes
k is greater than or equal to 5; 0
i say no
3z is less than or equal to 12;4
i say yes
n - 5 > 3; 6 i say no
2g + 8 is geater than or equal to 3;-1
i say yes
can you check these
Sure, I can help you check these. Let me explain how to determine if a number is a solution to an inequality first.
To check if a number is a solution to an inequality, you need to substitute the number into the inequality and evaluate the resulting expression. If the inequality holds true, then the number is a solution. If not, then it is not a solution.
Now, let's check each inequality:
1. x < 7; 7
To check, substitute 7 for x in the inequality:
7 < 7
Since 7 is not less than 7, the inequality does not hold true. Therefore, 7 is not a solution.
2. p > -3; 3
Substitute 3 for p in the inequality:
3 > -3
Since 3 is greater than -3, the inequality holds true. Therefore, 3 is a solution.
3. k is greater than or equal to 5; 0
Substitute 0 for k in the inequality:
0 ≥ 5
Since 0 is not greater than or equal to 5, the inequality does not hold true. Therefore, 0 is not a solution.
4. 3z is less than or equal to 12; 4
Substitute 4 for z in the inequality:
3 * 4 ≤ 12
12 ≤ 12
Since 12 is equal to 12, the inequality holds true. Therefore, 4 is a solution.
5. n - 5 > 3; 6
Substitute 6 for n in the inequality:
6 - 5 > 3
1 > 3
Since 1 is not greater than 3, the inequality does not hold true. Therefore, 6 is not a solution.
6. 2g + 8 is greater than or equal to 3; -1
Substitute -1 for g in the inequality:
2 * -1 + 8 ≥ 3
-2 + 8 ≥ 3
6 ≥ 3
Since 6 is greater than or equal to 3, the inequality holds true. Therefore, -1 is a solution.
So, in summary:
- 7 is not a solution.
- 3 is a solution.
- 0 is not a solution.
- 4 is a solution.
- 6 is not a solution.
- -1 is a solution.