Question

Kiara found the solution for the inequality, 3.2 less-than negative 9.5 + x. What is Kiara’s error?
Kiara should have added 9.5 to each side of the inequality to get the solution 6.3 less-than x.
Kiara should have reversed the variable and the number in the solution to get x less-than 12.7.
Kiara should have used a closed circle on the graph.
Kiara should have shaded the number line to the right of the circle.

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Kiara found the solution for the inequality,

3.2 < - 9.5 + x.

What is Kiara’s error?

• Kiara should have added 9.5 to each side of the inequality to get the solution 6.3 less-than x.

• Kiara should have reversed the variable and the number in the solution to get x less-than 12.7.

• Kiara should have used a closed circle on the graph.

• Kiara should have shaded the number line to the right of the circle.

EVALUATION

Here the given inequality is

$\sf{3.2 < - 9.5 + x}$

Step : 1

Add 9.5 in both sides

$\sf{3.2 + 9.5 < 9.5 - 9.5 + x}$

Step : 2

Simplify the inequality

$\sf{12.7 < x}$

CONCLUSION

So Kiara solve the inequality correctly

The solution is

$\sf{12.7 < x}$

Which can be rewritten as

$\sf{x > 12.7}$

Which means the values of x are the numbers greater than 12.7 which lies right of 12.7

Kiara has done a mistake here by shading the number line to the right of the circle.

FINAL ANSWER

Hence the correct option is

Kiara should have shaded the number line to the right of the circle.

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