5 subtracted from w is less than or equal to 16.Write inequality
1 answer:
Given:
The statement is given as 5 subtracted from w is less than or equal to 16.
The objective is to write inequality for the given statement.
Explanation:
Consider the first statement that is 5 is subtracted from <em>w</em>.
Then, the equation can be written as,
Explanation:
The result should be less than or equal to 16.
Thus, the final equation can be written as,
Hence, the obtained inequality is w - 5 ≤ 16.
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we have the inequality
step 1
Find out the first solution (positive case)
The first solution is all real numbers less than or equal to 1.20
Interval (-infinite,1.20]
step 2
Find out the second solution (negative case)
Multiply by -1 both sides
The second solution is all real numbers greater than or equal to -2.8
the interval [-2.8, infinite)
step 3
Find out the solution to the given inequality
The solution is
[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]
the solution is the interval [-2.8,1.20]
see the attached figure to better understand the problem
