Answer:
x<6
Step-by-step explanation:
First, let's work on the left hand side of your inequality, the 5x+2
This means, for instance, to see if it can be simplified at all.
Multiply x and 5
Multiply x and 1
The x just gets copied along.
The answer is x
x
5*x evaluates to 5x
5*x+2 evaluates to 5x+2
So, all-in-all, the left hand side of your inequality can be written as: 5x+2
Now, let's work on the right hand side of your inequality, the 32
The right hand side of your inequality can be written as: 32
So with these (any) simplifications, the inequality we'll set out to solve is:
5x+2 ‹ 32
Move the 2 to the right hand side by subtracting 2 from both sides, like this:
From the left hand side:
2 - 2 = 0
The answer is 5x
From the right hand side:
32 - 2 = 30
The answer is 30
Now, the inequality reads:
5x ‹ 30
To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the x on the left side of the inequality.
The last step is to divide both sides of the inequality by 5 like this:
To divide x by 1
The x just gets copied along in the numerator.
The answer is x
5x ÷ 5 = x
30 ÷ 5 = 6
The solution to your inequality is:
x ‹ 6
and minimum value of f(x) is 12