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How is finding the solution to an inequality different from finding the solution of an equation?
Solving for an inequality requires an additional step.
First you solve as if for an equation, then you need to find which numbers give greater than and less than.
The easy way to do this is to put in 0 for the variable and see where the values go greater or less.
Example: What is the inequality table for 5x=20?
when x=4 the equation balances.
if x=0 then the left side is less than 20, so all numbers from 4 towards 0 are going to give "less than" values, so all numbers less than 4.
The table is {x|(-∞,4),4,(4,∞)}■
What else can I help you with?
How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
What does solution of an equation mean?
It is a set of values for the variable or variables in the equation such that, when those values are put into the equation, the resulting mathematical statement is true. The term can also refer to the process of finding a solution.
How is the process of solving an equation like solving inequality?
Solving an equation and solving an inequality both involve finding values that satisfy a mathematical condition. In both cases, you manipulate expressions using similar operations, such as addition, subtraction, multiplication, and division. However, when solving inequalities, you must be cautious with operations that can reverse the inequality symbol, particularly when multiplying or dividing by a negative number. Ultimately, both processes aim to identify a set of values that meet the specified criteria, whether exact (equation) or a range (inequality).
What is The value of the variable that makes an equation true is a?
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
What would happen if you used order of operations to solve a literal equation?
You would have a reasonable shot at finding the correct solution.
How is solving for a specified variable in a formula different to finding a solution for an equation or inequality?
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
What does solution of an equation mean?
It is a set of values for the variable or variables in the equation such that, when those values are put into the equation, the resulting mathematical statement is true. The term can also refer to the process of finding a solution.
What is the number that can replace a variable in an equation to make it a true equation?
The number that can replace a variable in an equation to make it a true equation is called the solution or root of the equation. This number satisfies the equation when substituted for the variable. In algebra, finding the solution involves solving for the variable by performing various operations to isolate it on one side of the equation. The solution is the value that balances both sides of the equation, making it true.
What is the solution to the equation y equals -2.5?
The equation y = -2.5 represents a horizontal line on the Cartesian plane passing through the point (-2.5, 0). This line is parallel to the x-axis and has a slope of 0. The solution to this equation is all real numbers on the y-axis that have a value of -2.5.
What is the solution for 3x2 plus 4x-10?
The given algebraic expression has no solution because without an equality sign it is not an equation and so therefore finding a solution is not possible.
What is The value of the variable that makes an equation true is a?
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
What would happen if you used order of operations to solve a literal equation?
You would have a reasonable shot at finding the correct solution.
What are equivalent equations How do you find them Write a few sentences describing them?
Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.
What equation do you use for finding volume?
There are different formulae for different shapes so you would need to specify the shape in order to get an answer.
What is the solution to the damped pendulum differential equation?
The solution to the damped pendulum differential equation involves using mathematical techniques to find the motion of a pendulum that is affected by damping forces. The solution typically involves finding the general solution using methods such as separation of variables or Laplace transforms, and then applying initial conditions to determine the specific motion of the pendulum.
How do you find the equation of a graph?
You find the equation of a graph by finding an equation with a graph.
