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Chapter 3: Q.1 (page 156)

Find the value of a variable that, when substituted into an inequality, makes a true statement is a(n)鈥︹��.

Short Answer

Expert verified

The value of the variable is the solution of the inequality.

Step by step solution

01

Step 1.  Apply the concept of Linear inequality

In this, use the concept of linear inequality and their solution when put in equation in the variable gives satisfactory condition.

02

Step 2.  Explaining the statement to get result

Since,

In the linear inequality, it is theoritically known that if the value of the variable makes an inequality true, then the value of the variable is known as solution of the inequality.

Let鈥檚 take an example: n+7鈮�1

n+7鈮�1n+7鈭�7鈮�1鈭�7n鈮�鈭�6

So, the value of equation of the variable is n鈮�-6then put n=-6in the equation to get,

n+7鈮�1鈭�6+7鈮�11鈮�11=1

It satisfies the equation So, the variable shows the solution of an inequality.

So, The value of a variable that, when substituted into an inequality, makes a true statement is a Solution of an inequality.

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Most popular questions from this chapter

The length of a rectangle is 5 feet less than twice its width. The perimeter of the rectangle is 38 feet. Let w represent the width. Write an equation for the perimeter of the rectangle in terms of w. Then solve the equation to find the length and width of the rectangle.

Check your solution.

2=6h+20

Explain how the graph of x>5 is different from the graph of x鈮�5.

Write and solve an inequality for the following verbal sentence: Five plus 2 times a number is less than 20.

Solve the equation. Check your solution.

x+3.5=9.2
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