Question

Marquis used the steps below to find the solution to the inequality Negative 5. 6 greater-than-or-equal-to x 3. 6. Step 1 Subtract 3. 6 from both sides of the inequality. Negative 5. 6 greater-than-or-equal-to x 3. 6. Negative 5. 6 minus 3. 6 greater-than-or-equal-to x 3. 6 minus 3. 6. Negative 9. 2 greater-than-or-equal-to x. Step 2 Interpret the results. X greater-than-or-equal-to negative 9. 2 x is greater than or equal to –9. 2. Step 3 Draw a number line. A number line going from negative 9. 5 to negative 8. 8. A closed circle is at negative 9. 2. Everything to the left of the circle is shaded. Which describes the first step in which Marquis made an error? In Step 1, Marquis should have added 3. 6 to each side of the inequality. In Step 2, Marquis should have interpreted the results as x less-than-or-equal-to negative 9. 2, which means that x is less than or equal to –9. 2. Marquis should have used an open circle at –9. 2 in Step 3. Marquis should have shaded the number line to the right of –9. 2 in Step 3.

Answer 1

Marquis solutions are;

• The value of x is less than or equal to -9.2.
• Negative 9.2 is greater than or equal to x.
• The closed circle is at -9.6 that is everything to the left of the circle is shaded.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

Marquis used the steps below to find the solution to the inequality Negative 5.6 greater than or equal to x + 3.6 that can be written as

$\rm -5.6 \geq x + 3.6$

A.  Then the value of x will be

      - 5.6 ≥ x + 3.6

-5.6 - 3.6 ≥ x

       -9.2 ≥ x

B.  Negative 9.2 is greater than or equal to x.

C.  The number line is shown. The closed circle is at -9.6 that is everything to the left of the circle is shaded.

More about the inequality link is given below.

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