Question

Parul attempted to solve an inequality but made one or more errors. Her work and the graph she drew are shown below. Negative 5 x minus 3. 5 greater-than 6. 5. Negative 5 x greater-than 10. X greater-than negative 50. A number line going from negative 110 to positive 10. A closed circle is at negative 50. Everything to the right of the circle is shaded. What errors did Parul make? Select three options. She added 3. 5 to both sides when she should have subtracted. She should have divided both sides by Negative 5 as her first step. She divided one side by -5 while multiplying the other side by -5. She did not change the > symbol to a < symbol. She used a closed circle instead of an open circle on the number line.

Answer 1

Error made by parul as solving inequality , she should divide with -5 instead of multiplying and she had to change inequality sine.

What is inequality equation?

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

The equation of inequality given as,

$-5x-3.5>6.5-5x-3.5>6.5$

To solve the above equation, isolate the term x. Add number 3.5 both side of the equation as,

$-5x-3.5+3.5>6.5+3.5-5x-3.5+3.5>6.5+3.5$

Solve it further as,

$-5x>10-5x>10$

Divide both the sides of the equation with number -5 as,

$x$

The sign of inequality is changed, as we divide by negative number.

Thus, in final step solving inequality , Parul should divide with -5 instead of multiplying. Parul make one more error as she did not change inequality sine.

Learn more about inequality equation here;

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