Answer:
x = 6
Step-by-step explanation:
The answer is B) ii
The notation "p --> q" means "if p, then q". For example
p = it rains
q = the grass gets wet
So instead of writing out "if it rains, then the grass gets wet" we can write "p --> q" or "if p, then q". The former notation is preferred in a math class like this.
So when is the overall statement p --> q false? Well only if p is true leads to q being false. Why is that? It's because p must lead to q being true. The statement strongly implies this. If it rained and the grass didn't get wet, then the original "if...then" statement would be a lie, which is how I think of a logical false statement.
If it didn't rain (p = false), then the original "if...then" statement is irrelevant. It only applies if p were true. If p is false, then the conditional statement is known to be vacuously true. So this why cases iii and iv are true.
Answer:
x = -52
Step-by-step explanation:
Let's solve your equation step-by-step:
x + 2 = -50
Subtract 2 from both sides:
x + 2 - 2 = -50 - 2
x = -52
So therefore that is how you found your answer: x= -52
Answer:
18
Step-by-step explanation:
To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.
Now, break it by parts - "three times a number" would be 
. The "is" means that it equals something, giving us 
. "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is: 
. So, put it all together and it is 
.
Next, solve the equation for n. The answer will be the number.
Thus, the number is 18.
