Answer:
The conclusion is valid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
If you follow our program, you will lose weight. You are not following our program if you do not lose weight.
Here the second statement is the contrapositive of the first statement.
Let x is the number of person who does not lose weight, and this person is outside the bigger circle, this person is also outside the small circle.
Therefore, the conclusion is valid.
The required diagram is shown below:
Answer:
-500 < 200
Step-by-step explanation:
In inequality,
less than = <
greater than = >
Less than equal to = ≤
Greater than equal to = ≥,
Here, the given sentence is, loss of $500 is worse than a gain of $200
Generally, loss represents by an amount with a negative sign, That is, loss of $ 500 = - $ 500 Also, worse than is equivalent to less than. Thus, the required inequality would be, -500 less than 200 ⇒ -500 < 200
Hi!
Given:
Multiply both sides by 
<em>Notice the sign was flipped. This is because when you multiply or divide by a negative number, you must always flip the sign!</em>
<u>Now, for the graph:</u>
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For < or > signs, it should be an open circle. For 
or 
signs, it should be closed.
Since 
is less than 6, it should go to the left. Since it's a < symbol, it should be open. Therefore your answer is B.
(looks like you were right!!)
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+2=3+1
Step 1: Simplify both sides of the equation.
2x+2=3+1
2x+2=(3+1)(Combine Like Terms)
2x+2=4
2x+2=4
Step 2: Subtract 2 from both sides.
2x+2−2=4−2
2x=2
Step 3: Divide both sides by 2.
2x2=22
x=1
