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The property used in each step of solving the inequality 3x−2>−4 would include addition, division, and comparison.

A. True
B. False

1 Answer

2 votes

Final answer:

The property used in each step of solving the inequality 3x - 2 > -4 includes addition, division, and comparison. Hence, A. True

Step-by-step explanation:

The property used in each step of solving the inequality 3x - 2 > -4 includes addition, division, and comparison.

First, to solve the inequality, you can add 2 to both sides of the equation: 3x - 2 + 2 > -4 + 2. This simplifies to 3x > -2.

Next, you can divide both sides of the equation by 3 to isolate x: (3x)/3 > (-2)/3. This simplifies to x > -2/3.

Finally, you can compare x to -2/3. Since there are no further variables or unknowns in the inequality, you can directly compare x to -2/3.

Therefore, the statement that the property used in each step of solving the inequality 3x - 2 > -4 includes addition, division, and comparison is true.