Help!! solve
2.4x+22.0>55.0-8.6x
the solution set is {x]x> ?}
2.4x+22.0>55.0-8.6x
=2.4x+8.6x>55.0-22
=11x>33
=11x/11>33/11
=x>3
the solution set is {3}
To solve the inequality 2.4x + 22.0 > 55.0 - 8.6x, we need to isolate the variable x.
Step 1: Let's start by adding 8.6x to both sides of the inequality to get rid of the term -8.6x on the right side:
2.4x + 8.6x + 22.0 > 55.0 - 8.6x + 8.6x
Simplifying the equation gives us:
11x + 22.0 > 55.0
Step 2: Next, subtract 22.0 from both sides of the equation to isolate the x term:
11x + 22.0 - 22.0 > 55.0 - 22.0
Simplifying the equation further gives us:
11x > 33.0
Step 3: Now, to solve for x, we need to divide both sides of the equation by 11:
11x/11 > 33.0/11
This simplifies to:
x > 3.0
Therefore, the solution set for the inequality 2.4x + 22.0 > 55.0 - 8.6x is {x | x > 3.0}.