To solve the inequality 43 > 5x + 6x + 9, the first step is to combine the like terms on the right side of the inequality. The terms 5x and 6x can be added together, which gives:
- 5x + 6x = 11x
This simplifies the inequality to:
43 > 11x + 9
Next, to isolate the term with x, we can subtract 9 from both sides of the inequality:
43 – 9 > 11x
Which simplifies to:
34 > 11x
Now the inequality is ready for further solving, where you can divide both sides by 11 to solve for x. The first step was combining like terms, which makes the next steps clearer and more manageable.