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How do solutions differ for an equation and an inequality both algebraically and graphically?
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How many real solutions does -42 have?
None. -42 is a single integer, not an equation nor an inequality. So there are no solutions.
If you replace the equal sign of an equation an put an inequality sign in its place is there ever a time when the same value will be a solution to both the equation and inequality?
Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.
How would you prove that an inequality does have the same solution that an equation would have?
If you're given the inequality and the equation, then the way to prove that they have the same solution is to solve each one and show that the solutions are the same number. Don't strain yourself, though. An inequality and an equation never have the same solution.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
What is the answer for -15 plus x100?
-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.
Why does 14.8 have 2 solutions?
It does not have any solutions! 14.8 is a number, not an equation, inequality or question and so has no solutions.
Does an open sentence have to be an equation?
No, it can be an inequality, such as x+5>2. An inequality usually has (infinitely) many solutions.
How is solving an inequality different from solving an equation?
In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.
How many solutions are there to 8x 478(x 5)?
There is no equation (or inequality) in the question and so there cannot be any solutions.
How many real solutions does -42 have?
None. -42 is a single integer, not an equation nor an inequality. So there are no solutions.
What are the soulutions of 4 plus 5t19?
There are no solutions because there is no equation (or inequality), only an expression.
If you replace the equal sign of an equation an put an inequality sign in its place is there ever a time when the same value will be a solution to both the equation and inequality?
Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.
Does an expression have one true solution?
No, an expression cannot have any solutions. It is an expression, not an equation (or inequality).
Why does an inequality have 2 solutions?
An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.
How would you prove that an inequality does have the same solution that an equation would have?
If you're given the inequality and the equation, then the way to prove that they have the same solution is to solve each one and show that the solutions are the same number. Don't strain yourself, though. An inequality and an equation never have the same solution.
Is 5 a solution to 4x plus 7?
4x + 7 is an expression, not an equation. Only an equation (or an inequality) can have solutions, an expression cannot have a solution.
Which step would not be a possible first step for solving the following equation algebraically?
The first step not possible in solving an equation algebraically is not to provide an equation in the first place in which it appears to be so in this case.
