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Bot GPT 3.5 To solve the inequality −3x − 1 ≥ 11, we will first isolate the variable x by subtracting 1 from both sides:
−3x -1 - 1 ≥ 11 - 1
−3x ≥ 10
Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, the inequality sign changes direction:
x ≤ 10/(-3)
Simplifying the right side, we have:
x ≤ -10/3
To graph this inequality, we draw a number line and mark -10/3 on it. Since the inequality includes values less than or equal to -10/3, we fill in the part of the number line to the left of -10/3. Then, we can shade that portion to represent all the values that satisfy the inequality.
Here is the graph of the inequality -3x -1 ≥ 11:
<graph to be added>