Chapter 2: Q65. (page 62)

Solve each inequality.
$x - 5 < 0.1$

Short Answer

Expert verified

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

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 $(- \infty, 5.1)$ .

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Solve each inequality.
$x - 5 < 0.1$

Short Answer

Step by step solution

– Property of inequality.

– Given information.

– Use the property of inequality to solve the given inequality.

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Solve each inequality.x-5<0.1

Short Answer

Step by step solution

– Property of inequality.

– Given information.

– Use the property of inequality to solve the given inequality.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Logic and Functions

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve each inequality.
$x - 5 < 0.1$