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 subtracting \\(7.2\\) from both sides of the inequality.

step 3: create a variable coefficient of 1 by dropdown both sides of the

dropdown options:
adding \\(-12.5\\) to
subtracting \\(-12.5\\) from
multiplying by \\(-12.5\\) on
dividing by \\(-12.5\\) on

Explanation:

Identify the current step in the inequality solving process

The current state of the inequality is:

$$ -1.6 < -12.5x $$

To isolate the variable \(x\) and create a variable coefficient of \(1\), we need to divide both sides of the inequality by the coefficient of \(x\), which is \(-12.5\).

Select the correct dropdown option

Looking at the options in the dropdown menu for Step 3:

• adding \(-12.5\) to
• subtracting \(-12.5\) from
• multiplying by \(-12.5\) on
• dividing by \(-12.5\) on

The correct operation is "dividing by \(-12.5\) on".

Answer:

Step 3: Create a variable coefficient of 1 by <blank>dividing by -12.5 on</blank> both sides of the inequality.