Question

Write the word sentence as an inequality. then solve the inequality. five more than a number x is less than 17.

Answer 1

Construct inequalities:
Five more than a number x is less than 17
⇒ x + 5 < 17

Solve x:
x + 5 < 17

Take away 5 from both sides:
x < 17 - 5

Evaluate the right hand side:
x < 12

Answer: x < 12

Answer 2

Let’s start with “five more than a number x.” This translates to:

x + 5

This is “less than” 17, so we insert the corresponding symbol and add 17 to the right side of the equation:

x + 5 < 17

This is the translation of the inequality. Now we have to solve it. To do so, simply subtract 5 from both sides of he equation:

x + 5 ( – 5 ) < 17 ( – 5 )
x < 12

This is the solution to the translated inequality.

I hope this helps!