Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 08, 2023

Find a real number $x$ such that $-7.81 < x < -7$ .

STEP 1

Assumptions1. We need to find a number that is greater than -7.81. The number must also be less than -7

STEP 2

We know that any number that is closer to zero is greater. So, we need to find a number that is closer to zero than -7.81 but farther from zero than -7.

STEP 3

A simple way to find such a number is to take the average of -7.81 and -7. This will give us a number that is exactly in the middle of the two numbers.
$Number = \frac{-7.81 + (-7)}{2}$

STEP 4

Calculate the number.
$Number = \frac{-7.81 -7}{2} = -7.405$ So, -7.405 is a number that is greater than -7.81 and less than -7.

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