Question

Write the word sentence as an inequality: A number x plus 2 is less than or equal to 5.

1) Solve the inequality.
2) Graph the inequality.
3) And is x = -8 a solution to the inequality?

Answer 1

To write the word sentence as an inequality, we can translate the given statement into an inequality: x + 2 ≤ 5.1. To solve the inequality, subtract 2 from both sides to isolate the variable x: x ≤ 3.1.

Step-by-step explanation:

To write the word sentence as an inequality, we can translate the given statement "A number x plus 2 is less than or equal to 5.1" into an inequality. The symbol '≤' means 'less than or equal to'. So, the inequality is: x + 2 ≤ 5.1.

To solve the inequality, we need to isolate the variable x. We can do this by subtracting 2 from both sides of the inequality: x ≤ 5.1 - 2.

Simplifying the right side of the inequality gives us: x ≤ 3.1. This means that any number less than or equal to 3.1 is a solution to the inequality.