Admin Table of Contents
- 1 Can a solution set just be one number?
- 2 How do you know if a solution is correct?
- 3 What does check your solution mean?
- 4 How will you check if your solution in the rational equation is correct *?
- 5 What’s the definition of one solution?
- 6 How do you know there are infinite solutions to this system?
- 7 How do you check the solution to your math work?
- 8 How do you know if an answer is reasonable?
Can a solution set just be one number?
Depending on the complexity of the inequality the solution set may be a single number or it may be a range of numbers. If it is a single number then we use the same notation as we used for equations.
How do you know if a solution is correct?
Determine whether a number is a solution to an equation.
- Substitute the number for the variable in the equation.
- Simplify the expressions on both sides of the equation.
- Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
How do you tell if a solution is all real numbers or no solution?
Combine like terms on both sides of the equation. Isolate the x term by subtracting x from both sides. You arrive at the true statement “3 = 3”. When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”.
What does check your solution mean?
Check a Solution. The process of making sure a solution is correct by making sure it satisfies any and all equations and/or inequalities in a problem.
How will you check if your solution in the rational equation is correct *?
by eliminating the rational expressionsB. by dividing both sides of the equation by LCDC. by applying Commutative PropertyD. by substituting the answer or solution in the original equation.
What does it mean to have one solution?
So far we have looked at equations where there is exactly one solution. No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
What’s the definition of one solution?
What is the definition of one solution? no matter what constant is substituted in for the variable, the equation is ALWAYS true. no matter what constant is substituted in for the variable, the equation will NEVER be true. only this ONE solution will make the equation true.
How do you know there are infinite solutions to this system?
And since the -intercepts are different, we know the lines are not on top of each other. There is no solution to this system of equations. In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.
How many numbers are correct but wrong places?
1 5 7 : Two numbers are correct but wrong places. 8 0 6 : One number is correct but wrong place. 6 4 7 : One number is correct but wrong place. Now can you crack the code using these information?
How do you check the solution to your math work?
How to do that, however, might not be clear. There are a number of ways you can check the solution to your math work, depending on whether you are completing basic arithmetic problems, algebra, or word problems. Make an estimate. This can help you check that your answer is reasonable.
How do you know if an answer is reasonable?
This can help you check that your answer is reasonable. To estimate, round whatever numbers you are working with to numbers that you can easily manipulate in your head. Then perform the calculation and note the estimated value. When you complete the calculations using the actual numbers, compare how close your answer is to your estimate.