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Chapter 4: Q. 11 (page 247)

Solvex+2x-3<2

Short Answer

Expert verified

The solution set of inequality is-鈭�,3鈭�8,鈭�

Step by step solution

01

Step 1. Given Information

The given inequality isx+2x-3<2

02

Step 2. Explanation

Solve the given inequality,

x+2x-3-2<0x+2x-3-2(x-3x-3)<08-xx-3<0

To determine the real zero of function, we will find the value of x where f(x)=0

8-xx-3=08-x=0x=8

Thus, real zero of function is 8.

Also function is not defined atx=3

03

Step 3. Calculation

Construct the table by dividing the real number line into 3 intervals.

Thus, the required solution set is-鈭�,3鈭�8,鈭�

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Most popular questions from this chapter

A can in the shape of a right circular cylinder is required to have a volume of 500cubic centimeters. The top and bottom are made of material that costs 0.06鈧�per square centimeter, while the sides are made of material that costs 0.04鈧�per square centimeter.

Part (a) Express the total cost C of the material as a function of the radius r of the cylinder.

Part (b): Graph C=Cr. For what value of r is the cost C a minimum?

In Problems 63鈥�72, find the real solutions of each equation.

2x3-3x2-3x-5=0

Factor the expression6x2+x-2.

Solve each inequality algebraically.

x-3x+1>0

Use the Factor Theorem to prove that x-c is a factor of

xn-cn for any positive integer n.
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