The solution of the inequality x − 8 ≥ 0 and graph the solution set. The solution set of the inequality x − 8 ≥ 0 is all real numbers. Calculation: The inequality is x − 8 ≥ 0 . Use Absolute Value Inequality property, which says that u ≥ a if and only if u ≤ − a or u ≥ a x − 8 ≥ 0 or x − 8 ≤ − 0 x − 8 ≥ 0 or x − 8 ≤ 0 Add 8 to each part with property of addition of the constant of the Inequality, which says that if a < b , then a < b becomes a + c < b + c . x ≥ 8 or x ≤ 8 So, the solution set of the given inequality is all real numbers that are greater than or equal to 8 and less than or equal to 8 , denoted by − ∞ , 8 ∪ 8 , ∞ which means all real number Graph: The graph of the solution set is shown as: All the points on the number line are included in the solution set.
The solution of the inequality x − 8 ≥ 0 and graph the solution set. The solution set of the inequality x − 8 ≥ 0 is all real numbers. Calculation: The inequality is x − 8 ≥ 0 . Use Absolute Value Inequality property, which says that u ≥ a if and only if u ≤ − a or u ≥ a x − 8 ≥ 0 or x − 8 ≤ − 0 x − 8 ≥ 0 or x − 8 ≤ 0 Add 8 to each part with property of addition of the constant of the Inequality, which says that if a < b , then a < b becomes a + c < b + c . x ≥ 8 or x ≤ 8 So, the solution set of the given inequality is all real numbers that are greater than or equal to 8 and less than or equal to 8 , denoted by − ∞ , 8 ∪ 8 , ∞ which means all real number Graph: The graph of the solution set is shown as: All the points on the number line are included in the solution set.
Solution Summary: The author explains that the solution set of the inequality left|x-8right|ge 0 is all real numbers.
To calculate: The solution of the inequality x−8≥0 and graph the solution set.
The solution set of the inequality x−8≥0 is all real numbers.
Calculation:
The inequality is x−8≥0.
Use Absolute Value Inequality property, which says that u≥a if and only if u≤−a or u≥a
x−8≥0 or x−8≤−0x−8≥0 or x−8≤0
Add 8 to each part with property of addition of the constant of the Inequality, which says that if a<b, then a<b becomes a+c<b+c.
x≥8 or x≤8
So, the solution set of the given inequality is all real numbers that are greater than or equal to 8 and less than or equal to 8, denoted by −∞,8∪8,∞ which means all real number
Graph:
The graph of the solution set is shown as:
All the points on the number line are included in the solution set.
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