6
QuizMultiple Choice

Addition and Subtraction Inequalities — Quiz

Question 6 • Grade 7 Mathematics

Which shows the correct solution to the inequality 7 tenths is greater than or equal to 1 and 5 eighths plus p ?

Answer
A
7 tenths is greater than or equal to 1 and 5 eighths plus p 7 tenths minus 1 and 5 eighths is greater than or equal to 1 and 5 eighths minus 1 and 5 eighths plus p 28 over 40 minus 1 and 25 over 40 is greater than or equal to p p is greater than or equal to negative 1 and 3 over 40
B
7 tenths is greater than or equal to 1 and 5 eighths plus p 7 tenths minus 1 and 5 eighths is greater than or equal to 1 and 5 eighths minus 1 and 5 eighths plus p 28 over 40 minus 1 and 25 over 40 is greater than or equal to p p is less than or equal to negative 37 over 40
C
7 tenths is greater than or equal to 1 and 5 eighths plus p 7 tenths minus 1 and 5 eighths is greater than or equal to 1 and 5 eighths minus 1 and 5 eighths plus p 28 over 40 minus 1 and 25 over 40 is greater than or equal to p p is greater than or equal to negative 37 over 40
D
7 tenths is greater than or equal to 1 and 5 eighths plus p 7 tenths minus 1 and 5 eighths is greater than or equal to 1 and 5 eighths minus 1 and 5 eighths plus p 28 over 40 minus 1 and 25 over 40 is greater than or equal to p p is less than or equal to negative 1 and 3 over 40

Explanation

Subtract 1 5/8 from both sides to isolate p, keeping the inequality direction the same: p ≤ 7/10 − 1 5/8. Using fortieths, 7/10 = 28/40 and 1 5/8 = 65/40, so p ≤ −37/40. Choice B gives p less than or equal to negative 37/40.

AI-written and checked against the verified answer.

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