Question

Determine which integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixths m minus four is less than one third m plus 5 false.
S:{−18, 2, 15}
S:{−18, 2}
S:{15}
S:{20}

Answer 1

By using the method of integer,  from the set only 20 is false.

What is integer?

Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." As a result, fractions and decimals are not included in integers. In this essay, we will learn more about integers, their definition, and their characteristics. An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Given that,

Determine which integer(s) from the set S:{−18, 2, 15, 20}  

The inequality five sixths m minus four is less than one third m plus 5 false.

$\frac{5}{6}m - 4 < \frac{1}{3} m +5$

(5/6)m- 4 < (1/3)m +5

Add 4 on both sides

(5/6)m- 4+ 4 < (1/3)m + 5 + 4

(5/6)m < (1/3)m +9

Substract (1/3) m on both sides

(5/6)m- (1/3)m < 9

$\frac{5m- 2m}{6} < 9$

(3m/6)< 9

(1m/2)< 9

Multiply 2 on both sides

m < 18

Therefore, from the set only 20 is false.

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