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Chapter 8: Q9. (page 400)

Solve the inequality. Graph the solution.

x+14<25

Short Answer

Expert verified

The solution for our given inequality would be x<11 and in interval notation -鈭�,11.

Step by step solution

01

Step 1. Given Information.

An equation: x+14<25

02

Step 2. Calculation.

We will solve our given inequality using opposite operations as shown below:

x+14<25鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌�(骋颈惫别苍颈苍别辩耻补濒颈迟测)x+14鈭�14<25鈭�14(Subtracting14鈥刦谤辞尘产辞迟丑蝉颈诲别蝉)x<11

Therefore, the solution for our given inequality would be all values of xless than 11. The solution of our given inequality in interval notation would be (-鈭�,11).

Since 11 is not a solution of our given inequality, so we will have an open dot at x=11. Upon graphing solution of our given inequality, we will get:

03

Step 3. Conclusion.

The solution for our given inequality would be x<11 and in interval notation (-鈭�,11).

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Most popular questions from this chapter

Find the value of athat makes the ordered pair a solution of the equation.

y=2x+5;-1,a

Suppose a relation is represented as a set of ordered pairs and as a mapping diagram. Which representation more clearly shows whether or not the relation is a function? Explain.

Graph the equation.

3x+2y=-2

The height of a person is measured every year from the age of 1 year to the age of 50 years.

  1. Do the ordered pairs age,height represent a function? Explain.
  2. Would you expect the ordered pairs height,age to represent a function? Why or why not?

Graph the equation.

y=3x-4.
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