What is the solution to the inequality 1 2/3 > r - 7/12

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Rewriting Fractions

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Rewrite:                    5/3 ≥ r - 7/12

Isolate r:                    9/4 ≥ r

Rewrite:                    r ≤ 9/4

Reduce:                    r ≤ 2 1/4

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

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step-by-step explanation: