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-4 is less than or equal to x, and 5 is greater than x

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Final answer:

The question inquires about the range of values for x that satisfy the inequality -4 ≤ x < 5, indicating that x can be any real number between -4 and 5, inclusive of -4 but not 5.

Step-by-step explanation:

The student asks about an inequality involving a variable x. Specifically, two conditions are given: -4 is less than or equal to x, and 5 is greater than x. Algebraically, this can be written as -4 ≤ x and x < 5, which translates to a compound inequality -4 ≤ x < 5. This defines a range for x where it can be any real number between -4 and 5, including -4 but not including 5.

For example, if x = 1.5, it satisfies the inequality since it is greater than or equal to -4 and less than 5. Similarly, 4.5 is also a valid value because it is less than 5 and greater than or equal to -4. However, the value 5 would not satisfy the inequality since 5 is not less than itself (5 is not less than 5).

User Lakindu Hewawasam
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