Question

Write the word sentence as an inequality.

Then solve the inequality.

Five more than a number x is less than 17.

An inequality that represents this word sentence is x+5<17

The solution is ?

Answer 1

The word sentence 'Five more than a number x is less than 17' can be written as the inequality x + 5 < 17. To find the solution, subtract 5 from both sides to get x < 12, which indicates that x must be less than 12.

Step-by-step explanation:

The student's question involves translating a word sentence into an inequality and then solving the inequality. The word sentence given is 'Five more than a number x is less than 17.' To translate this into an inequality, we express 'five more than a number x' as x + 5 and 'is less than' as the inequality symbol <, leading to the inequality x + 5 < 17.

To solve the inequality for the number x, we need to isolate x on one side. We do this by subtracting 5 from both sides of the inequality:

1. x + 5 < 17
2. x + 5 - 5 < 17 - 5
3. x < 12

The solution to the inequality is that the value of x must be less than 12.

Answer 2

x≤11

Step-by-step explanation:

x+5<17, I can subtract 5 on both sides so

x+5<17

-5 -5

x<12

that's wrong though because my x needs to make my answer less than x to make the statement true since we're looking for a value that is less than 17 not less than or equal to 17. So in conclusion, if x≤11 ( if x is less than or equal to 11), my statement will be true because 11+5<17=16<17, which is true. Even 10 or less is fine because it will still be smaller than 17 and that will keep my statement balanced.