If p is true and q is false, then p ∧ ~q is true.
1 answer:
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We know that:
so in this case ,
and:
Answer:
The equations represent the situation is and
.
Step-by-step explanation:
Consider the provided information.
First convert the statement into mathematical representation.
Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.
<em>y</em>, is equal to twice the sum of a smaller number and 3.
This information can be written as:
Which can be further solve as:
The larger number is also equal to 5 more than 3 times the smaller number.
This information can be written as:
Thus, the equations represent the situation is and
.
Which can be further solve as:
Now, substitute the value of <em>x</em> in .