Question

question 4 (3 points)
for each inequality, match the correct inverse operation you would need to perform in order to solve.
column a \t\t\t\tcolumn b

1. \boxed{} 2x > 6 \t\ta. subtract both sides by 2.
2. ___ x + 2 > 6 \t\tb. multiply both sides by 2.
3. ___ x - 2 > 6 \t\tc. divide both sides by 2.
4. ___ \\(\frac{x}{2}\\) > 6 \t\td. add both sides by 2.

Explanation:

Step1: Match $2x>6$ inverse op

To isolate $x$, undo multiplication by 2.
Inverse operation: Divide both sides by 2 (matches c)

Step2: Match $x+2>6$ inverse op

To isolate $x$, undo addition of 2.
Inverse operation: Subtract both sides by 2 (matches a)

Step3: Match $x-2>6$ inverse op

To isolate $x$, undo subtraction of 2.
Inverse operation: Add both sides by 2 (matches d)

Step4: Match $\frac{x}{2}>6$ inverse op

To isolate $x$, undo division by 2.
Inverse operation: Multiply both sides by 2 (matches b)

Answer:

1. c. Divide both sides by 2.
2. a. Subtract both sides by 2.
3. d. Add both sides by 2.
4. b. Multiply both sides by 2.