The solution of the given inequality, − 6 x > 15 , and graph the solution set. The solution set of the given inequality, − 6 x > 15 , is x < − 2.5 . Calculation: Consider the given inequality, − 6 x > 15 . Multiply each part by − 1 6 by using the multiplicative property of an inequality, according to which, 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 > 15 x < − 2.5 The solution set of the given inequality is the set of all real numbers that are smaller than − 2.5 which can be denoted by − ∞ , − 2.5 . Graph: The solution set of the inequality is shown in the graph. The parenthesis at x = − 2.5 means that the solution of the inequality does not include the value at x = − 2.5 .
The solution of the given inequality, − 6 x > 15 , and graph the solution set. The solution set of the given inequality, − 6 x > 15 , is x < − 2.5 . Calculation: Consider the given inequality, − 6 x > 15 . Multiply each part by − 1 6 by using the multiplicative property of an inequality, according to which, 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 > 15 x < − 2.5 The solution set of the given inequality is the set of all real numbers that are smaller than − 2.5 which can be denoted by − ∞ , − 2.5 . Graph: The solution set of the inequality is shown in the graph. The parenthesis at x = − 2.5 means that the solution of the inequality does not include the value at x = − 2.5 .
Solution Summary: The author calculates the solution of the given inequality, -6x>15, and graphs its solution set.
To calculate: The solution of the given inequality, −6x>15, and graph the solution set.
The solution set of the given inequality, −6x>15, is x<−2.5.
Calculation:
Consider the given inequality, −6x>15.
Multiply each part by −16 by using the multiplicative property of an inequality, according to which, if c>0, then a<b becomes ac<bc and if c<0, then a>b becomes ac<bc.
−6x>15x<−2.5
The solution set of the given inequality is the set of all real numbers that are smaller than −2.5 which can be denoted by −∞,−2.5.
Graph:
The solution set of the inequality is shown in the graph.
The parenthesis at x=−2.5 means that the solution of the inequality does not include the value at x=−2.5.
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