Solve the inequality 24 + 4x ≥ 100

x ≥ 19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

24 + 4x ≥ 100

Step 2: Solve for x

Subtract 24 on both sides:                    4x ≥ 76Divide 4 on both sides:                          x ≥ 19

Here we see that any value x greater than or equal to 19 would work as a solution to the inequality.

The triangle won't exist.

Step-by-step explanation:

If the two shorter lengths add up to be shorter than the longest length, the triangle can't exist.