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.

Answer 1

Number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

As per the question statement, we are supposed to find  the  integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

Let's write the given statement in numeric form first, we get

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

Let's solve the inequality for "m"

We get 3m/6 <9

or 3m <54

or m < 18

Therefore all values of m < 18 will make the inequality true and m>18 will make the  inequality false.

The value of m > 18 in the above given set S:{−18, 2, 15, 20} is 20, hence number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

• Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

To learn more about inequality and its concept, click on the link given below:

brainly.com/question/20383699

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