How do you find the solution set?

To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set. That set is your answer!

What is the solution set for this inequality?

The solution set of an inequality is the set of all solutions. Typically an inequality has infinitely many solutions and the solution set is easily described using interval notation. The solution set of example 1 is the set of all x <= 7.

What value of x is in the solution set 3 x 4?

-7
The value of x is in the solution set of 3(x – 4) = 5x + 2 is -7.

What is the solution to 2 8x 4 2x 5?

Answer: Option (a) x > 1/6 is the solution to the given expression -2(8x – 4) < 2x + 5.

What is solution set in matrix?

The above examples show us the following pattern: when there is one free variable in a consistent matrix equation, the solution set is a line, and when there are two free variables, the solution set is a plane, etc. The number of free variables is called the dimension of the solution set.

What is the solution set for 3x + 5?

Solution Sets for Equations Equation Solution Set 3 x + 5 = 11 { 2 } x 2 = x { 0, 1 } x + 1 = 1 + x R (the set of all real numbers) x + 1 = x ∅ (the empty set)

How do you find the solution set if there are no solutions?

If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set (or empty set). Sometimes, you may be given a replacement set, and asked to test whether the equation is true for all values in the replacement set. Find the solution set for the equation z + z = z × z if the replacement set is { 0, 1, 2, 3, } .

Does x2+1 = 0x2 + 1 = 0 have complex solutions?

If you don’t know how to find these at this point that is fine we will be covering that material in a couple of sections. At this point just accept that x2+1 = 0 x 2 + 1 = 0 does have complex solutions. Finally, as noted above we won’t be using the solution set notation much in this course.

What is the set of all solutions of an equation?

The set containing all the solutions of an equation is called the solution set for that equation. If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set (or empty set).