What is the solution set for −4x−5<31 ?(1 point)

Responses

x<−9x<−9

x>−9x is greater than negative 9

x>9x is greater than 9

x<9

Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To solve the inequality −4x−5<31, we can begin by isolating the variable x on one side of the inequality.

Adding 5 to both sides of the inequality, we get:
−4x−5+5<31+5
−4x<36

Now, dividing both sides of the inequality by -4 (remembering to flip the inequality sign because we are dividing by a negative number), we get:
x>-9

So, the solution set for the inequality −4x−5<31 is x>-9.

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