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

x greater-than-or-equal-to negative 9.2

Explanation:

Step by step in math notation here is what Marquis solved

Starting with -5.6 ≥ x + 3.6

Step 1

• Subtract 3.6 from both sides of the inequality.
  -5.6 - 3.6 ≥ x + 3.6 - 3.6

• -9.2 ≥ x

Step 2: Interpret the results

• x greater-than-or-equal-to negative 9.2
  -9.2 ≥ x
  is
  x ≤ -9.6
• The correct interpretation is x less -than-or-equal-to negative 9.2
  
  

Since the question is asking only for the first step where the error was made, the rest of the actions taken have no relevance