Explanation:
Inequality Interval Notation Graph
Sajan Rai
Solve the inequalities below. Write the solution set in interval notation and graph the solution.
8x−12>158x-12>15
Solution:
Interval notation for the solution:
(-∞,5/8) U (5/8, ∞)
To graph the solution, we need to find the points that make the inequality true and shade the region that corresponds to these points. On the number line, we can start by finding x values that make the inequality equal to zero:
8x - 12 = 0
x = 12/8 = 3/2
and
15 - 8x = 0
x = 15/8 = 9/4
Next, we need to test values that are less than 3/2 and greater than 9/4 to determine the direction of the inequality. If the inequality is true for values less than 3/2, then we shade the region to the left of 3/2. If the inequality is true for values greater than 9/4, then we shade the region to the right of 9/4. In this case, since the inequality is "greater than," the shading goes to the right of 9/4 and to the left of 3/2.