Which set notation correctly expresses the solution set to the equation 31β9x=4 ?
The set notation that correctly expresses the solution set to the equation 31 β 9x = 4 is { (27/9)} or { 3 }.
To express the solution set to the equation 31 - 9x = 4 using set notation, we need to solve the equation first. Let's solve it step by step:
31 - 9x = 4
First, subtract 31 from both sides to isolate the term with 'x':
-9x = 4 - 31
-9x = -27
Next, divide both sides by -9 to solve for 'x':
x = (-27) / (-9)
x = 3
Now that we have found the value of 'x', we can express the solution set using set notation. In this case, the solution set only contains a single value, which is 'x = 3'. Therefore, the set notation to express the solution set is:
{3}
To express the solution set to the equation 31 - 9x = 4 using set notation, we can follow these steps:
Step 1: Solve the equation 31 - 9x = 4 for x.
Subtract 31 from both sides:
-9x = 4 - 31
-9x = -27
Divide both sides by -9:
x = -27 / -9
x = 3
Step 2: Write the solution set using set notation.
The solution set is the set containing the value of x that satisfies the equation.
Since there is only one value of x that satisfies the equation, the solution set can be expressed as:
{3}