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describe what numbers satisfy the inequality. $w > -7$ $p < -10$ $17 \\…

Question

describe what numbers satisfy the inequality.
$w > -7$
$p < -10$
$17 \leq p$

Explanation:

Step1: Analyze \( w \geq -7 \)

The inequality \( w \geq -7 \) means \( w \) can be any real number that is greater than or equal to -7. So \( w \) includes -7, 0, 5, -6.5, etc., as long as the number is not less than -7.

Step2: Analyze \( p < -10 \)

For \( p < -10 \), \( p \) must be a real number that is strictly less than -10. Examples are -11, -15, -10.3, etc., but not -10 or any number greater than -10.

Step3: Analyze \( 17 \leq p \)

The inequality \( 17 \leq p \) (or \( p \geq 17 \)) means \( p \) is a real number that is greater than or equal to 17. So \( p \) can be 17, 20, 17.5, etc., but not numbers less than 17.

Answer:

  • For \( w \geq -7 \): All real numbers greater than or equal to -7.
  • For \( p < -10 \): All real numbers less than -10.
  • For \( 17 \leq p \): All real numbers greater than or equal to 17.