x + (3 - 2) = -5Clear the parentheses on the left side:x + 1 = -5Subtract 1 from each side:x = -6That's the whole set of solutions.There's only one solution.
It means a listing of every solution to an equation. Example 1: 3x + 1 = 10. Solution set: x is an element of the set {3}. That means there is just one solution. If you replace "x" in the original equation with "3", you get a true statement; if you replace it with anything else, you don't. Example 2: x2 = 25. Solution set: x is an element of the set {5, -5}.
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6x = 1 x = 1/6
2x2+5x-3 = 0 (2x-1)(x+3) = 0 x = 1/2 or x -3
There can be no solution to an algebra equation because of limitations of the domain. For example,x+3 = 2 has no solution if the domain for x is the set of positive integers,x*3 = 2 has no solution if the domain for x is the set of whole numbers,x^3 = 2 has no solution if the domain for x is the set of rational numbers,x^2 = -2 has no solution if the domain for x is the set of real numbers.Alternatively, the equation has no solution if it can be reduced to a false statement. For example,x + 2 = x + 3 can be simplified to 2 = 3 which is false and so there is no solution.
The solution set of the equation x - 5 - 2 is x = 7. Therefore, the solution set is {7}.
An open statement is a sentence that contains a variable , such as x. The solution set for an open sentence is the set of values that when substituted for the variable make a true statement. The members of the solution set are called solutions. Examples: x = 2. Solution set is {2} solution is 2. x2 - 5 = 4 Solution set is {-3, 3 } solutions are -3 and 3. x > 0 Solution set = {x " x > 0 } That is all positive numbers. Every positive number is a solution. There are some finer points that I did not mention such as the possibility of more than one variable and limitations on the values that allowed in the substitutions.
divide by 3. (x+2) (x-2) = 0 set both equal to 0 x= -2 and x= 2
X2 - X - 6 = 0what two factors of - 6 add up to - 1 ?(X + 2)(X - 3)============(- 2, 0 ) and (3, 0 )------------------------------solution set of points
Just get the X by itself. The answer is three. x+2=5 x=5-2 x=3
x + (3 - 2) = -5Clear the parentheses on the left side:x + 1 = -5Subtract 1 from each side:x = -6That's the whole set of solutions.There's only one solution.
x=4
x=2, 3, 4...
4x^2 - 11x + 6 = 0 (4x - 3)(x - 2) x = 3/4, 2
It means a listing of every solution to an equation. Example 1: 3x + 1 = 10. Solution set: x is an element of the set {3}. That means there is just one solution. If you replace "x" in the original equation with "3", you get a true statement; if you replace it with anything else, you don't. Example 2: x2 = 25. Solution set: x is an element of the set {5, -5}.
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