Chapter 3: Q. 5 (page 171)

In problems 3-6, use the figure to solve each inequality.
a) $g (x) \geq f (x)$
b) $f (x) > g (x)$

Short Answer

Expert verified

(a) $[- 2, 1]$

(b) $(- \infty, - 2) o r (1, \infty)$

Step by step solution

Part (a) Step 1. Given Information

It is given that $g (x) \geq f (x)$ and the graph is,

Part (a) Step 2. Observe the graph

From the graph, it is observed that the value of $g (x)$ is greater than or equal to $f (x)$ for localid="1646313863885" role="math" $- 2 \leq x \leq 1$ .
In the set builder form, for $g (x) \geq f (x)$ , localid="1646313876888" role="math" ${x | - 2 \leq x \leq 1}$ . Also, in interval notation it is denoted as $[- 2, 1]$ .

Part (b) Step 1. Given Information

It is given that, $f (x) > g (x)$ and the graph is,

Part (b) Step 2. Observe the graph

From the graph, it is observed that the value of $f (x)$ is greater than $g (x)$ for $x < - 2 o r x > 1$ .
In the set builder form, for $f (x) > g (x)$ , ${x | x < - 2 o r x > 1}$ . Also, in interval notation it is denoted as role="math" localid="1646313809222" $(- \infty, - 2) o r (1, \infty)$ .

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In problems 3-6, use the figure to solve each inequality.
a) $g (x) \geq f (x)$
b) $f (x) > g (x)$

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2. Observe the graph

Part (b) Step 1. Given Information

Part (b) Step 2. Observe the graph

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In problems 3-6, use the figure to solve each inequality.a) g(x)≥f(x)b)f(x)>g(x)

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2. Observe the graph

Part (b) Step 1. Given Information

Part (b) Step 2. Observe the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In problems 3-6, use the figure to solve each inequality.
a) $g (x) \geq f (x)$
b) $f (x) > g (x)$