The point,(-2,3) is a solution to the following system. y>-2x-2 and y< 3true or false
2 answers:
Answer: FALSE.
Step-by-step explanation:
Given the system of inequalities:
We can know if the point (-2,3) is a solution to the following system with the graph of the system of inequalities.
By definition the solution is the intersection region of all the solutions of the system of inequalities.
Knowing this and analizing the graph attached, we can notice that the point (-2,3) is not included in the intersection region (Remember that with symbols "<" and ">" the lines are dashed and any point that lines of these lines is not included in the intersection region).
Therefore, it is not a solution to the system.
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Answer:
Step-by-step explanation:
If I'm not mistaken by the question, we have
Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)
Putting all terms on the LHS (left hand side) and evaluating,
In order to divide integers, the first thing to check is the sign:
- When dividing two positive integers, the result will be a positive integer.
- When dividing two negative integers, the result will be a positive integer.
- When dividing integers with different signs (one negative and one positive), the result will be a negative integer.
Then, after checking the sign, we need to calculate the value of the division.
Some examples of divisions are:
In the first division, the result is 3, because we have that 8 * 3 is equal 24.
Also, both numbers are positive, so the result is also a positive number.
In the second division, the result is -3, because 5 * (-3) is equal -15.
The result is negative, because the two numbers have different signs.
In the third division, the result is 10, because -10 * 10 is equal -100.
The result is positive, because both numbers are negative.