Chapter 2: Q.378 (page 195)

In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation.
$x \geq - 4 a n d x \leq - 1$

Short Answer

Expert verified

$T h e n u m b e r t h a t m a k e b o t h i n e q u a l i t i e s t r u e i s - 4 \leq x \leq - 1 I n t e r v a l N o t a t i o n : [- 4, - 1]$

Step by step solution

Step 1. Given information

Solve each inequalities

$x \geq - 4 a n d x \leq - 1$

Step 2.Solve each inequalities

$x \geq - 4 i . e . [- 4, \infty) x \leq - 1 i . e . (- \infty, - 1]$

Step 3.Graph Each Solution

Graph of $x \geq - 4$

Graph of $x \leq - 1$

Step 4.Merge The Graph of Each Solution

Merged both the solution and draw the graph we get

Step 5.Interval Notation

$T h e n u m b e r t h a t m a k e b o t h i n e q u a l i t i e s t r u e i s - 4 \leq x \leq - 1 I n t e r v a l N o t a t i o n : [- 4, - 1]$

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In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation.
$x \geq - 4 a n d x \leq - 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2.Solve each inequalities

Step 3.Graph Each Solution

Step 4.Merge The Graph of Each Solution

Step 5.Interval Notation

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In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation.x≥-4andx≤-1

Short Answer

Step by step solution

Step 1. Given information

Step 2.Solve each inequalities

Step 3.Graph Each Solution

Step 4.Merge The Graph of Each Solution

Step 5.Interval Notation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Probability and Statistics

Calculus

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation.
$x \geq - 4 a n d x \leq - 1$