To graph: the given system of inequalities.

Expert Solution & Answer

Explanation of Solution

Given information:

16x2+49y2≤784..........(1)

49x2+16y2≥784..........(2)

Calculation:

Since A ≠C in each equation but they have same signs. Thus, both the inequalities represent anellipse. The graph of each inequality will have a solid line because it has less than or equal to sign. Now test a point which satisfies the inequality (1).

16x2+49y2≤78416(0)2+49(0)2≤784 [Test for (0,0)]0≤784 [∴True point]

Thus, the interior part of ellipse (1) will be shaded.

Now test a point which satisfies the inequality (2).

49x2+16y2≥78449(5)2+16(0)2≥784 [Test for (5,0)]1225≥784 [∴True point]

Thus, the exterior part of ellipse (2) will be shaded.

The graph of given system of inequalities is shown below.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.8, Problem 29E

The red shaded portion represents inequality (1), the blue shaded portion represents inequality (2) and the region of intersection of two inequalities is shaded with light purple.

Chapter 10.8, Problem 28E

Chapter 10.8, Problem 30E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFU Ch. 10.1 - Prob. 2CFU Ch. 10.1 - Prob. 3CFU Ch. 10.1 - Prob. 4CFU Ch. 10.1 - Prob. 5CFU Ch. 10.1 - Prob. 6CFU Ch. 10.1 - Prob. 7CFU Ch. 10.1 - Prob. 8CFU Ch. 10.1 - Prob. 9CFU Ch. 10.1 - Prob. 10CFU

Ch. 10.1 - Prob. 11CFU Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.2 - Prob. 1CFU Ch. 10.2 - Prob. 2CFU Ch. 10.2 - Prob. 3CFU Ch. 10.2 - Prob. 4CFU Ch. 10.2 - Prob. 5CFU Ch. 10.2 - Prob. 6CFU Ch. 10.2 - Prob. 7CFU Ch. 10.2 - Prob. 8CFU Ch. 10.2 - Prob. 9CFU Ch. 10.2 - Prob. 10CFU Ch. 10.2 - Prob. 11CFU Ch. 10.2 - Prob. 12CFU Ch. 10.2 - Prob. 13CFU Ch. 10.2 - Prob. 14CFU Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Prob. 27E Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 32E Ch. 10.2 - Prob. 33E Ch. 10.2 - Prob. 34E Ch. 10.2 - Prob. 35E Ch. 10.2 - Prob. 36E Ch. 10.2 - Prob. 37E Ch. 10.2 - Prob. 38E Ch. 10.2 - Prob. 39E Ch. 10.2 - Prob. 40E Ch. 10.2 - Prob. 41E Ch. 10.2 - Prob. 42E Ch. 10.2 - Prob. 43E Ch. 10.2 - Prob. 44E Ch. 10.2 - Prob. 45E Ch. 10.2 - Prob. 46E Ch. 10.2 - Prob. 47E Ch. 10.2 - Prob. 48E Ch. 10.2 - Prob. 49E Ch. 10.2 - Prob. 50E Ch. 10.2 - Prob. 51E Ch. 10.2 - Prob. 52E Ch. 10.2 - Prob. 53E Ch. 10.2 - Prob. 54E Ch. 10.2 - Prob. 55E Ch. 10.2 - Prob. 56E Ch. 10.2 - Prob. 57E Ch. 10.2 - Prob. 58E Ch. 10.3 - Prob. 1CFU Ch. 10.3 - Prob. 2CFU Ch. 10.3 - Prob. 3CFU Ch. 10.3 - 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