Which set of numbers is included in the solution set of the compound inequality?
2 answers:
The set of numbers is included in the solution set of the compound inequality is {-7, 5, 18, 24, 32}
<h3>Number line and inequalities</h3>Inequalities are expressions not separated by an equal sign.
From the given number line, the equivalent inequality expression are
x > 22 (22 s excluded since it is an open circle) and x≤ 18 (18 is included since the circle is shaded)
Hence the set of numbers is included in the solution set of the compound inequality is {-7, 5, 18, 24, 32}
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The set of numbers that is been included in the solution set of the compound inequality is
The inequality can be referred to as the relationship between two values which are not equal and cannot be separated by an equal sign.
From the open circle, Checking the number set, , 22 cannot be involved, from the shaded circle, x≤ 18 , 18 can be included.
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Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.