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Which phrases can be used to represent the inequality 6.5 x + 1.5 less-than-or-equal-to 21? Select two options.

The product of 6.5 and the sum of a number and 1.5 is no more than 21.
The sum of 1.5 and the product of 6.5 and a number is no greater than 21.
The product of 6.5 and a number, when increased by 1.5, is below 21.
The product of 6.5 and a number, when increased by 1.5, is at most 21.
The sum of 1.5 and the product of 6.5 and a number is at least 21.

1 answer

The inequality \( 6.5x + 1.5 \leq 21 \) can be expressed in various ways. The following two phrases correctly represent this inequality:

  1. The sum of 1.5 and the product of 6.5 and a number is no greater than 21.
  2. The product of 6.5 and a number, when increased by 1.5, is at most 21.

These phrases accurately convey the relationship established by the inequality.