DISCUSS ■ DISCOVER: What’s Wrong Here? It is temptingto try to solve an inequality as if it were an equation. Forinstance, we might try to solve 1  3/x by multiplying bothsides by x, to get x  3, so the solution would be 1`, 32 .But that’s wrong; for example, x  1 lies in this intervalbut does not satisfy the original inequality. Explain why thismethod doesn’t work (think about the sign of x). Then solvethe inequality correctly. 95. DISCUSS - DISCOVER: What's Wrong Here? It is temptingto try to solve an inequality as if it were an equation. Forinstance, we might try to solve 1 < 3/x by multiplying bothsides by x, to get x < 3, so the solution would be (-0, 3).But that's wrong; for example, x = -1 lies in this intervalbut does not satisfy the original inequality. Explain why thismethod doesn't work (think about the sign of x). Then solvethe inequality correctly.

Consider the given inequality 1<3x Since there is no information of x, that whether x is positive…

Answered: 95. DISCUSS - DISCOVER: What's Wrong…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.5: Systems Of Inequalities

Problem 1E

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DISCUSS ■ DISCOVER: What’s Wrong Here? It is tempting
to try to solve an inequality as if it were an equation. For
instance, we might try to solve 1  3/x by multiplying both
sides by x, to get x  3, so the solution would be 1`, 32 .
But that’s wrong; for example, x  1 lies in this interval
but does not satisfy the original inequality. Explain why this
method doesn’t work (think about the sign of x). Then solve
the inequality correctly.

95. DISCUSS - DISCOVER: What's Wrong Here? It is tempting
to try to solve an inequality as if it were an equation. For
instance, we might try to solve 1 < 3/x by multiplying both
sides by x, to get x < 3, so the solution would be (-0, 3).
But that's wrong; for example, x = -1 lies in this interval
but does not satisfy the original inequality. Explain why this
method doesn't work (think about the sign of x). Then solve
the inequality correctly.

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