Question

solve this inequality: (4.2x + 5.6 < 7.2 - 8.3x)

step 1: isolate the constant term on the left side of the inequality by subtracting (4.2x) from both sides of the inequality.

step 2: isolate the variable term on the right side of the inequality by dropdown both sides of the inequality

dropdown options:
adding 7.2 to
subtracting 7.2 from
multiplying by 7.2 on
dividing by 7.2 on

Explanation:

Analyze the current state of the inequality

The student has completed Step 1:

$$ 4.2x + 5.6 < 7.2 - 8.3x $$

Subtracting \(4.2x\) from both sides yields:

$$ 5.6 < 7.2 - 12.5x $$

Determine the operation for Step 2

To isolate the variable term \(-12.5x\) on the right side, we must eliminate the constant term \(7.2\) from the right side.
This is achieved by subtracting \(7.2\) from both sides of the inequality.

Answer:

Step 2: Isolate the variable term on the right side of the inequality by <blank>subtracting 7.2 from</blank> both sides of the inequality.