The correct answers would be options (A) and (C).
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given two cases,
p: -3x + 8x - 5x = x
q: (3x)(5y) = 15xy
We have to need to isolate the variables:
p: -3x + 8x - 5x = x
⇒ (-3x - 5x) + 8x = x
⇒ -8x + 8x = x
⇒ x = 0
This is not always true, hence the statement is incorrect because this will hold true for only one value of x.
q: (3x)(5y) = 15xy
⇒ (3x)(5y) = 15xy
⇒ (3×5)(x×y) = 15xy
⇒ 15xy = 15xy
If both x and y are true for any value, then the statement is true.
Hence, p → q and q → p are false.
Therefore, the correct answers would be options (A) and (C).
Learn more about the equation here:
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