The winner of a weight-lifting competition bench-pressed 400 pounds. All other competitors bench-pressed at least 23 pounds less. Write an inequality that represents the weights x (in pounds) that the other competitors bench-pressed.

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Answer:

[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]

Step-by-step explanation:

The winner of a weight-lifting competition bench-pressed weight 400 pounds.

All other competitors bench-pressed at least 23 pounds less. So, the maximum weight that all other competitors bench-pressed is

[tex]400-23=977\ pounds[/tex]

If x pounds is the weight that the other competitors bench-pressed, then

[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]

that sounds as the other competitors bench-pressed at most 377 pounds weight.