Explain why the solution is correct or incorrect
8.3 > m
Z < 2.9
W > 7.4
Solution
M = 2.9
Z = 2.9
W = -12
Which ones are Correct or Incorrect and explain why
In the given solution, we have the following inequalities:
1. 8.3 > m (The solution states M = 2.9)
2. Z < 2.9 (The solution states Z = 2.9)
3. W > 7.4 (The solution states W = -12)
Let's analyze each inequality to determine if the solution is correct or incorrect for each one.
1. 8.3 > m (The solution states M = 2.9)
To check if this inequality is correct, we substitute the value of M (2.9) into the inequality. So we have 8.3 > 2.9. This statement is indeed true since 8.3 is greater than 2.9. Therefore, the solution is correct for this inequality.
2. Z < 2.9 (The solution states Z = 2.9)
To check if this inequality is correct, we substitute the value of Z (2.9) into the inequality. So we have 2.9 < 2.9. This statement is not true since 2.9 is not less than 2.9. Therefore, the solution is incorrect for this inequality.
3. W > 7.4 (The solution states W = -12)
To check if this inequality is correct, we substitute the value of W (-12) into the inequality. So we have -12 > 7.4. This statement is also not true since -12 is not greater than 7.4. Therefore, the solution is incorrect for this inequality.
In summary:
- The solution is correct for the inequality 8.3 > m.
- The solution is incorrect for the inequality Z < 2.9.
- The solution is incorrect for the inequality W > 7.4.
Based on the given information, let's evaluate the statements one by one:
1. 8.3 > m:
- The solution states that m = 2.9, which means the statement becomes 8.3 > 2.9. This is correct because 8.3 is indeed greater than 2.9.
2. Z < 2.9:
- The solution states that Z = 2.9, which makes the statement Z < 2.9 equivalent to 2.9 < 2.9. This statement is incorrect because 2.9 is not less than 2.9; it is equal to itself.
3. W > 7.4:
- The solution states that W = -12, which makes the statement W > 7.4 equivalent to -12 > 7.4. This statement is also incorrect because -12 is not greater than 7.4; it is actually lesser.
In summary:
- Statement 1 (8.3 > m) is correct
- Statement 2 (Z < 2.9) is incorrect
- Statement 3 (W > 7.4) is incorrect