Question
Solve and graph this inequality:
`-3x-1\ge11` Open or closed
`-3x-1\ge11` Open or closed
Answers
GPT 3.5
The inequality is -3x - 1 ≥ 11.
To solve for x, we need to isolate it on one side of the inequality sign.
Starting with -3x - 1 ≥ 11, we first add 1 to both sides:
-3x ≥ 12
Next, we divide both sides by -3. Since we are dividing by a negative number, we need to reverse the inequality sign:
x ≤ -4
So the solution to the inequality is x ≤ -4.
To graph this inequality on a number line, we plot a closed circle at -4 and shade everything to the left of it. This is because all the values less than or equal to -4 will satisfy the inequality.
To solve for x, we need to isolate it on one side of the inequality sign.
Starting with -3x - 1 ≥ 11, we first add 1 to both sides:
-3x ≥ 12
Next, we divide both sides by -3. Since we are dividing by a negative number, we need to reverse the inequality sign:
x ≤ -4
So the solution to the inequality is x ≤ -4.
To graph this inequality on a number line, we plot a closed circle at -4 and shade everything to the left of it. This is because all the values less than or equal to -4 will satisfy the inequality.