Question

Solve each inequality.

$x-5<0.1$

Short answer

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

Step-by-step solution

– 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.

– Given information.

The given inequality is:

$x-5<0.1$

– 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 $\left(-\infty ,5.1\right)$.