Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Step-by-step explanation: Given that The statements 'p', 'q' and 'r' are defined as follows.
p : it is cold,
q : it is humid,
r : it is snowing.
The statement 'it is cold and humid if and only if it is snowing' can be written as
(p∧q) ⇔ r.
We know that r ⇔ s can be written as (r⇒s)∧(s⇒r).
So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Answer:
x = -2
Step-by-step explanation:
You have -5x + (-2) = -2x +4 add 5x on both sides and you will have
-2 = -2x + 5x +4 simplify
-2 = 3x + 4 add -4 on both sides
-2 -4 = 3x
3x = -6 divide both sides by 3
x = -2
To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.
It's most likely the 2nd answer.
Answer:
The x-intercept is (2, 0).
Step-by-step explanation:
First write the equation of this line: y = (-3/2)x + 3.
At the x-intercept, y = 0. So, we set the above equation equal to 0 and solve for the x-intercept:
0 = (-3/2)x + 3, or
(3/2)x = 3, or x/2 = 1. Thus, x = 2.
The x-intercept is (2, 0).
