Problem 155
Question
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$x-0.02(x+200)=0.98 x-4$$
Step-by-Step Solution
Verified Answer
The statement \(x-0.02(x+200)=0.98 x-4\) is true. No changes are needed.
1Step 1: Simplify the Left-Hand Side (LHS)
First, distribute the \(-0.02\) in \(-0.02(x+200)\) to obtain \(x-0.02x-4\) which further simplifies to \(0.98x-4\).
2Step 2: Compare Both Sides
Now compare both sides of the equation: The LHS \(0.98x-4\) is equal to the right hand side (RHS) \(0.98x-4\).
3Step 3: Conclude the Equation’s Validity
As the LHS and the RHS of the equation are equal, the statement is true. There's no need to make any modifications.
Other exercises in this chapter
Problem 153
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$5+3(x-4)=8(x-4)=8 x-32
View solution Problem 154
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$-x-x=-x+(-x)=0$$
View solution Problem 156
Insert either in the shaded area between the numbers to make the statement true. $$\sqrt{2} \quad 1.5$$
View solution Problem 157
Insert either in the shaded area between the numbers to make the statement true. $$-\pi \quad-3.5$$
View solution