The solution of the inequality x 3 < 2 and graph the solution set. The solution set of the inequality x 3 < 2 is − 6 < x < 6 . Calculation: The given inequality is x 3 < 2 . Use the absolute value property of inequality, which says that u < a if and only if − a < u < a . − 2 < x 3 < 2 Multiply each part by 3 using the multiplication property of inequality, which says that if c > 0 , then a < b becomes a c < b c and if c < 0 , then a > b becomes a c < b c . − 6 < x < 6 So, the solution set of the given inequality is all real numbers, which are greater than − 6 and less than 6, denoted by − 6 , 6 . Graph: The graph of the solution set is shown as: The parenthesis at x = − 6 and x = 6 means that the points are not included in the solution set.
The solution of the inequality x 3 < 2 and graph the solution set. The solution set of the inequality x 3 < 2 is − 6 < x < 6 . Calculation: The given inequality is x 3 < 2 . Use the absolute value property of inequality, which says that u < a if and only if − a < u < a . − 2 < x 3 < 2 Multiply each part by 3 using the multiplication property of inequality, which says that if c > 0 , then a < b becomes a c < b c and if c < 0 , then a > b becomes a c < b c . − 6 < x < 6 So, the solution set of the given inequality is all real numbers, which are greater than − 6 and less than 6, denoted by − 6 , 6 . Graph: The graph of the solution set is shown as: The parenthesis at x = − 6 and x = 6 means that the points are not included in the solution set.
Solution Summary: The author explains how to calculate the solution of the inequality left|x3right|
To calculate: The solution of the inequality x3<2 and graph the solution set.
The solution set of the inequality x3<2 is −6<x<6.
Calculation:
The given inequality is x3<2.
Use the absolute value property of inequality, which says that u<a if and only if −a<u<a.
−2<x3<2
Multiply each part by 3 using the multiplication property of inequality, which says that if c>0, then a<b becomes ac<bc and if c<0, then a>b becomes ac<bc.
−6<x<6
So, the solution set of the given inequality is all real numbers, which are greater than −6 and less than 6, denoted by −6,6.
Graph:
The graph of the solution set is shown as:
The parenthesis at x=−6 and x=6 means that the points are not included in the solution set.
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