Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x ≤ 100. Explain what this statement means, in words, and what each part of the inequality represents.

Question

Mathematics

Heidi

22 January, 15:01

Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x ≤ 100. Explain what this statement means, in words, and what each part of the inequality represents.

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Gary Avery · Answer 1

The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.