subtracting 4.2x, subtracting 7.2, dividing by –12.5, x < 0.128.
Solution:
Given inequality:
4.2 x + 5.6 < 7.2 – 8.3 x
To solve this inequality:
Step 1:
Isolate the constant term on the left side of the inequality by subtracting 4.2x from both sides of the inequality.
4.2 x + 5.6 – 4.2 x < 7.2 – 8.3 x – 4.2 x
5.6 < 7.2 – 12.5 x
Step 2:
Isolate the variable term on the right side of the inequality by subtracting 7.2 from both sides of the inequality.
5.6 – 7.2 < 7.2 – 12.5 x – 7.2
–1.6 < – 12.5 x
Step 3:
Create a variable coefficient of 1 by dividing by –12.5 on both sides of the inequality.
[tex]$\frac{-1.6}{-12.5} <\frac{-12.5}{-12.5}x[/tex]
0.128 > x
Step 4:
The solution set is x < 0.128.
