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Chapter 1: Q70. (page 39)

Solve each equation. Check the solution.

70. 2x-36=14

Short Answer

Expert verified

The value of x is25 and 11.

Step by step solution

01

- State the definition of absolute value.

The distance of a number from 0 in the number line is called the absolute value and since distance cannot be negative so absolute value is always positive.

02

- Solve the inequality.

If x is a number, then absolute value of x is written as x.

Here, the inequality is:

2x-36=14

Case 1:

a=b2x鈭�36=142x鈭�36+36=14+362x=50x=25

Or Case 2:

a=鈭�b2x鈭�36=鈭�142x鈭�36+36=鈭�14+362x=22x=11

The solution is 25 and 11

03

- Check the solution.

For case 1: x=25.

Check:

2x鈭�36=142脳25鈭�36=1450鈭�36=1414=1414=14

Thus, it is correct.

For case 2: x=11.

Check:

2x鈭�36=142脳11鈭�36=1422鈭�36=14鈭�14=1414=14

Thus, it is also correct.

04

- State the conclusion.

Therefore, the solution set for x is 25,11.

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Most popular questions from this chapter

Determine which expression below represents the amount of change someone would receive from a \(50bill if they purchased 2 children鈥檚 ticket at \)4.25each and 3 adult ticket at $7each at a movie theatre. Explain.

a.50鈭�2脳4.25+3脳7b.50鈭�2脳4.25+3脳7c.50鈭�2脳4.25+3脳7d.50鈭�2脳4.25+3脳7

Name the sets of numbers to which each number belongs.

-4.55

Name the property illustrated by each equation.

2+14+3=3+2+14

Name the sets of numbers to which all of the following numbers belong. Then arrange the numbers in order from least to greatest.

2.49炉,2.49炉,2.4,2.49,2.9炉

Name the property illustrated by each equation.

3路4路25=3路4路25
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