Q65. - Algebra 2

Question

Solve each inequality. 

$x-5<0.1$

Step-by-Step Solution

Answer

The required solution of the given inequality is $x<5.1$ or $\left(-\infty ,5.1\right)$.

Step 1 &ndash; Property of inequality.

According to the addition property of inequality, if $a<b$, then $a+c<b+c$, where $a,b,c$ are real values.

Step 2 &ndash; Given information.

The given inequality is:

$x-5<0.1$

Step 3 &ndash; Use the property of inequality to solve the given inequality.

Using the addition property of inequality, add $5$ on both sides.

$\begin{array}{l}x-5+5<0.1+5\\ x<5.1\end{array}$

The value of $x$ is less than $5.1$, where $5.1$ is excluded.

Thus, the required solution of the given inequality is $x<5.1$ or $\left(-\infty ,5.1\right)$.