3x-1 divided by 4 +4<= -4
Would the sign flip?
(3x-1)/4 + 4 <= -4
(3x-1)/4 <= -8
3x-1 <= -32
3x < -31
x <= -31/3
You sure it's not
3x+1 <= -32 ? That would mean
3x <= -33
x <= -11
No flip, because we're not multiplying by a negative value
Ok thx
To solve this inequality, you first need to simplify the expression on the left side of the inequality sign.
The expression is (3x - 1)/4 + 4. To simplify, start by multiplying 4 to both sides of the inequality to get rid of the denominator:
4 * [(3x - 1)/4 + 4] <= 4 * (-4)
Now we can simplify further:
(3x - 1) + 16 <= -16
Combine like terms:
3x + 15 <= -16
Next, we want to isolate the variable x. To do this, we need to get rid of the constant term 15 on the left side of the inequality. We can do this by subtracting 15 from both sides:
3x <= -16 - 15
Simplify:
3x <= -31
Finally, to solve for x, we need to divide every term by 3:
3x/3 <= -31/3
Simplify:
x <= -31/3
So the solution to the given inequality is x <= -31/3 or -10.33 (rounded to two decimal places).
To answer your question, when you multiply or divide both sides of an inequality by a negative number, you would need to flip the direction of the inequality sign. In this case, we didn't need to flip the sign because we didn't multiply or divide by a negative number.