write an inequality for the situation. all real numbers at most –9.5 or at least 5.5 a. –9.5 ≤ b ≤ 5.5 b. b ≤ –9.5 or b ≤ 5.5 c. b ≤ –9.5 or b ≥ 5.5 d. b ≥ –9.5 or b ≥ 5.5
All real numbers at most –9.5 or at least 5.5 is given by \(b \leq -9.5\) or \(b \geq 5.5\)
Answer: b ≤ -9.5 or b ≥ 5.5
Step-by-step explanation:
We use different sign for different statement that showing inequality,
Less than = <
More than = >
Less than equal to = ≤
More than equal to = ≥
Let b shows the real number,
The value of b is at least 5.5,
⇒ All real numbers more than 5.5 including 5.5,
⇒ b ≥ 5.5,
or If the value of b is at most -9.5,
⇒ All real numbers less than -9.5 including -9.5,
⇒ b ≤ -9.5
Thus, the required inequality is b ≤ -9.5 or b ≥ 5.5