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 dividing by \\(-12.5\\) on both sides of the inequality.

step 4: the solution set is

options:
\\(x = 0.128\\)
\\(x < 0.128\\)
\\(x > 0.128\\)

Explanation:

Isolate constant term on the left

$$
LATEXBLOCK0
$$

Isolate variable term on the right

$$
LATEXBLOCK1
$$

Create a variable coefficient of 1

$$
LATEXBLOCK2
$$

Answer:

Question 1

Step 1: Isolate the constant term on the left side of the inequality by <blank>subtracting \(4.2x\) from</blank> both sides of the inequality.

Question 2

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.

Question 3

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

Question 4

Step 4: The solution set is <blank>\(x < 0.128\)</blank>.