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Chapter 3: Q. 1 (page 171)

Solve the inequality-3x-2<7.

Short Answer

Expert verified

The solution set is(-3,鈭�).

Step by step solution

01

Step 1. Given Information

The given inequality is-3x-2<7.

02

Step 2. Solve the inequality

  • Add 2 to both sides of the inequality.

-3x-2+2<7+2-3x<9

  • Divide both sides by -3and reverse the sign of the inequality.

-3x-3>9-3x>-3

  • In interval notation it can be denoted as(-3,鈭�).

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Most popular questions from this chapter

Graphy=2x-3.

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=3x2+6x

In Problems 7鈥�22, solve each inequality.

25x2+16<40x

In Problems 21鈥�28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line .

xy=f(x)
-2-26
-1-4
02
1-2
2-10

In Problems 25鈥�32, use the given functions f and g.

(a)f(x)=0(b)g(x)=0(c)f(x)=g(x)(d)f(x)>0

(e)g(x)鈮�0(f)f(x)>g(x)(g)f(x)鈮�1

f(x)=-x2+3g(x)=-3x+3
See all solutions

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