MHB Logarithm inequality divide an inequality by a negative value

Thread starter highmath
Start date Oct 26, 2018
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Inequality Logarithm Negative Value

Oct 26, 2018

highmath

What is error in the picture?

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Oct 26, 2018

MarkFL

Gold Member

MHB

The error arises because:

$$\log_{10}\left(\frac{1}{2}\right)<0$$

When we divide an inequality by a negative value, we need to reverse the direction of the inequality, so that we get:

$$2<3$$

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MHB Logarithm inequality divide an inequality by a negative value

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Thread 'Trigonometry problem of interest'

Thread 'Midpoint(s) of the unbounded number line'

Thread 'Arithmetic and our place value system'

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