Question

How do you solve $x - 35 > 15$ ?

Answer 1

Hint: Take out all the like terms to one side and all the alike terms to the other side. Take out all the common terms. Reduce the terms on the both sides until they cannot be reduced any further if possible. Then finally evaluate the value of the unknown variable. Solve both the inequalities separately.

Complete step-by-step solution:
First we will start off by evaluating the inequality.
Now we add $35$ from both the sides so we get,
$
 \Rightarrow x - 35 > 15 \\
  \Rightarrow x - 35 + 35 > 15 + 35 \\
 $
We will simplify terms on both the sides.
$
  \Rightarrow x - 35 + 35 > 15 + 35 \\
 \Rightarrow x > 50 \\
 $
Now if we recombine the equations, we will get,
$\Rightarrow x > 50$

Hence the correct answer is x>50>

Additional Information: To cross multiply terms, you will multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. Then you multiply the numerator of the second fraction times the number in the denominator of your first fraction, and then you write that number down. By Cross multiplication of fractions, we get to know if two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you are not sure how to reduce. Cross multiplication also helps us to solve for unknown variables in fractions.

Note: While the terms from one side to another, take the terms step-by-step to avoid any mistakes. After addition of terms, take the variables to a side and integer type of terms to the other side. Reduce the terms by factorisation. Make sure to add the terms on both the sides of the inequality.