Question

OLinear Equations and Inequalities

Translating a sentence into a compound inequality
Write the following as an inequality.
-9 is less than x, and x is less than or equal to -4
Use x only once in your inequality.

Answer 1

The compound inequality for x given the statements is -9 < x ∧ x ≤ -4.

Step-by-step explanation:

The compound inequality for the statement 'x is less than or equal to -4' is x ≤ -4.

To combine it with the first statement '9 is less than x', we use the 'and' condition, which translates to the symbol '∧' in mathematics. Therefore, the compound inequality can be written as -9 < x ∧ x ≤ -4.

This means that x is greater than -9 but less than or equal to -4.

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