I just need to check a few answers, I really don't want to do bad
Which number is a solution of the Inequalty
y + 2 > 8
A) -5
B) -6***
C) 6
D) 7
Which number is a solution of the Inequality
6 > z(10 - z)
A) 0
B) 1
C) 2**
D) 3
To check the solutions for these inequalities, we can substitute each answer choice into the inequality and see if it holds true. Let's go step-by-step.
For the first inequality:
y + 2 > 8
Let's check each answer choice:
A) -5: -5 + 2 > 8
-3 > 8 ❌ (This is not true)
B) -6: -6 + 2 > 8
-4 > 8 ❌ (This is not true)
C) 6: 6 + 2 > 8
8 > 8 ❌ (This is not true)
D) 7: 7 + 2 > 8
9 > 8 ✅ (This is true)
So, the number that is a solution to this inequality is D) 7.
For the second inequality:
6 > z(10 - z)
Let's check each answer choice:
A) 0: 6 > 0(10 - 0)
6 > 0 ✅ (This is true)
B) 1: 6 > 1(10 - 1)
6 > 9 ❌ (This is not true)
C) 2: 6 > 2(10 - 2)
6 > 16 ❌ (This is not true)
D) 3: 6 > 3(10 - 3)
6 > 21 ❌ (This is not true)
So, the number that is a solution to this inequality is A) 0.
I hope this helps! Let me know if you have any more questions.
To check which number is a solution of the inequality, you can substitute each number into the inequality and check if the inequality becomes true or false.
For the first inequality, y + 2 > 8, we need to find a number that, when substituted into the inequality, makes it true. Let's test each option by substituting them into the inequality:
A) -5 + 2 > 8 -> -3 > 8 (false)
B) -6 + 2 > 8 -> -4 > 8 (false)
C) 6 + 2 > 8 -> 8 > 8 (false)
D) 7 + 2 > 8 -> 9 > 8 (true)
As we can see, when we substitute the value of 7 into the inequality, it makes the inequality true. Therefore, the correct answer is D) 7.
For the second inequality, 6 > z(10 - z), we follow the same process:
A) 6 > 0(10 - 0) -> 6 > 0 (true)
B) 6 > 1(10 - 1) -> 6 > 9 (false)
C) 6 > 2(10 - 2) -> 6 > 16 (false)
D) 6 > 3(10 - 3) -> 6 > 21 (false)
Out of the given options, only A) 0 satisfies the inequality. Therefore, the correct answer is A) 0.
Remember, when checking solutions, substitute the value into the inequality and check if it is true or false.
All you had to do is to substitute your answer in the given relation to see that you are wrong for both
Were you just guessing??
In the first, just subtract 2 from both sides and you have your answer of
y > 6
So the only number greater than 6 is 7, which is choice D
Let me know what you decide for #2