Solve the inequality. Write the solution in set-builder notation.
-4x-20>-36
To solve the inequality, we'll first isolate the variable term by adding 20 to both sides:
-4x - 20 + 20 > -36 + 20
This simplifies to:
-4x > -16
Next, we'll divide both sides by -4, remembering to flip the inequality sign when dividing by a negative number:
-4x/-4 < -16/-4
This simplifies to:
x < 4
Therefore, the solution in set-builder notation is:
{x | x < 4}
To solve the inequality -4x - 20 > -36, we can begin by isolating the variable x. Here's the step-by-step process:
Step 1: Add 20 to both sides of the inequality to remove the constant term on the left side:
-4x - 20 + 20 > -36 + 20
-4x > -16
Step 2: Divide both sides of the inequality by -4. Since we are dividing by a negative number, we have to reverse the inequality sign:
(-4x)/(-4) < (-16)/(-4)
x < 4
Therefore, the solution to the inequality -4x - 20 > -36 is x < 4.
In set-builder notation, we can write the solution as:
{x | x < 4}
To solve the inequality -4x-20>-36, we can start by isolating the variable.
Step 1: Subtract -20 from both sides of the inequality:
-4x-20+20 > -36+20
-4x > -16
Step 2: Divide both sides of the inequality by -4 (note that the division by a negative number flips the inequality sign):
(-4x)/(-4) < (-16)/(-4)
x < 4
Therefore, the solution to the inequality -4x-20>-36, written in set-builder notation, is:
{x | x < 4}