Solve the inequality. Write the solution in set-builder notation.
-4x -9 < - 25
To solve the inequality, we will isolate the x variable.
-4x - 9 < - 25
First, add 9 to both sides of the inequality:
-4x - 9 + 9 < - 25 + 9
Simplifying, we get:
-4x < -16
Next, divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality symbol:
x > (-16)/(-4)
Simplifying, we get:
x > 4
Therefore, the solution in set-builder notation is:
{x | x > 4}
To solve the inequality -4x - 9 < -25, you can follow these steps:
Step 1: Add 9 to both sides of the inequality to isolate the term with x:
-4x - 9 + 9 < -25 + 9
-4x < -16
Step 2: Divide both sides of the inequality by -4. Note that when dividing by a negative number, the inequality sign will flip:
-4x / -4 > -16 / -4
x > 4
Thus, the solution to the inequality -4x - 9 < -25 is x > 4. We can write this solution in set-builder notation as {x | x > 4}.
To solve the inequality -4x - 9 < -25, we can follow these steps:
Step 1: Start by subtracting 9 from both sides of the inequality:
-4x - 9 + 9 < -25 + 9
-4x < -16
Step 2: Divide both sides of the inequality by -4. Since we are dividing by a negative number, the inequality sign will flip:
-4x / -4 > -16 / -4
x > 4
So, the solution to the inequality -4x - 9 < -25 in set-builder notation is:
{x | x > 4}