Translate the sentence into an inequality.The product of w and 3 is greater than 15.
1 answer:
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Answer:
The statement is neither a tautology nor a contradiction.
Step-by-step explanation:
A tautology is a statement that is always true.
A contradiction is a statement that is always false.
We are going to use a truth table to determine whether the statement is a tautology, contradiction, or neither
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
The statement is compound by these simple statements:
and we are going to use these simple statements to build the truth table.
The last column contains true and false values. Therefore, the statement is neither a tautology nor a contradiction.
Basically you want to make the equation so that you have
x>something or x<something so basically solve for x or isolate x so
a+bx>cx-d
try to get all the x's on one side
subtract bx from both sides
a>cx-bx-d
add d to both sides
a+d>cx-bx
undistribute
a+d>(x)(c-b)
divide both sides by (c-b)
tada
so the solution is
>x or
x<
x>something or x<something so basically solve for x or isolate x so
a+bx>cx-d
try to get all the x's on one side
subtract bx from both sides
a>cx-bx-d
add d to both sides
a+d>cx-bx
undistribute
a+d>(x)(c-b)
divide both sides by (c-b)
tada
so the solution is
x<