Chapter 5: Q 1. (page 297)

Solve each inequality :
(a) $3 x - 7 < 8 - 2 x$
(b) $x^{2} - x - 6 > 0$

Short Answer

Expert verified

The answer of part (a) is $x < 3$

and part (b) is either $x > - 2 o r x < - 2$ .

Step by step solution

Part (a) Step 1. Given information

Given expression is $3 x - 7 < 8 - 2 x$

Part (a) Step 2. Solution

Adding $' 2 x + 7'$ both sides, we have,

$3 x - 7 + 2 x + 7 < 8 - 2 x + 2 x + 7 5 x < 15 x < 3$

Part (b) Step 1. Given information

Given expression is $x^{2} - x - 6 > 0$

Part (b) Step 2. Solution

$x^{2} - x - 6 > 0 (x - 3) (x + 2) > 0$

Either $x > 3 a n d x > - 2$ this implies that $x > - 2$

or $x < 3 a n d x < - 2$ this implies that $x < - 2$

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Solve each inequality :
(a) $3 x - 7 < 8 - 2 x$
(b) $x^{2} - x - 6 > 0$

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Solution

Part (b) Step 1. Given information

Part (b) Step 2. Solution

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Solve each inequality :(a)3x-7<8-2x(b)x2-x-6>0

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Solution

Part (b) Step 1. Given information

Part (b) Step 2. Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Statistics

Study anywhere. Anytime. Across all devices.

Solve each inequality :
(a) $3 x - 7 < 8 - 2 x$
(b) $x^{2} - x - 6 > 0$