To solve the equation above, subtract 1 from both sides of the equation to isolate term with variable a
2a = 1 - 1
2a= 0
Divide both sides by 2 to solve for a:
a=0 over 2
a=0 , so therefore the solution to the equation is a=0
Now, to graph the solution set on a number line:
1. Draw a number line with a scale that includes the values around the solution, in this case, 0.
2. Plot a point at a = 0
3. Use an open circle (○) at the point to indicate that the solution is not included in the solution set because the equation does not have an equals sign under the inequality symbol.
4. Label the point as a = 0
The graph represents the solution set of the equation \(2a + 1 = 1\) on a number line, where \(a\) equals 0.