Chapter 2: Q 377 (page 195)

Solve Compound Inequalities with "and"
$x \leq 4 a n d x > - 2$

Short Answer

Expert verified

$T h e n u m b e r t h a t m a k e b o t h i n e q u a l i t i e s t r u e i s - 2 < x \leq 4 I n t e r v a l N o t a t i o n : (- 2, 4]$

Step by step solution

Solve each inequalities

$x \leq 4 i . e . (- \infty, 4] x > - 2 i . e . (- 2, \infty)$

Graph each solution

Draw the number lines for each inequalities

$G r a p h f o r x \leq 4$

$G r a p h f o r x > - 2$

Merge The Graph of Each solution

$G r a p h f o r x \leq 4 a n d x > - 2$

Interval Notation

$T h e n u m b e r t h a t m a k e b o t h i n e q u a l i t e s t r u e i s - 2 < x \leq 4 I n t e r v a l N o t a t i o n : (- 2, 4]$

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Solve Compound Inequalities with "and"
$x \leq 4 a n d x > - 2$

Short Answer

Step by step solution

Solve each inequalities

Graph each solution

Merge The Graph of Each solution

Interval Notation

One App. One Place for Learning.

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Solve Compound Inequalities with "and"x≤4andx>-2

Short Answer

Step by step solution

Solve each inequalities

Graph each solution

Merge The Graph of Each solution

Interval Notation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Applied Mathematics

Logic and Functions

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve Compound Inequalities with "and"
$x \leq 4 a n d x > - 2$