28-7x>-4(-7x-7)
28-7x>-4(-7x-7)
28 - 7x > 28x + 28
-35x > 0
divide by -35, remember that we have to reverse the inequality sign
when we multiply or divide by a negative, so ...
x < 0
that is, x can be any negative numbers
To solve the inequality 28 - 7x > -4(-7x - 7), you can follow these steps:
Step 1: Distribute -4 to both terms inside the parentheses:
28 - 7x > -4 * -7x - 4 * 7
Simplify the expression:
28 - 7x > 28x + 28
Step 2: Combine like terms on the right side of the inequality:
28 - 7x > 28x + 28
Step 3: Move all terms to one side to simplify the inequality:
28 - 28 > 28x + 7x + 28
Simplify further:
0 > 35x + 28
Step 4: Move the constant term to the other side of the inequality:
0 - 28 > 35x + 28 - 28
Simplify:
-28 > 35x
Step 5: Divide both sides by 35 (remember to reverse the inequality if dividing by a negative number):
-28 / 35 < 35x / 35
Simplify:
-4/5 < x
So, the solution to the inequality 28 - 7x > -4(-7x - 7) is x > -4/5.
To solve the inequality 28 - 7x > -4(-7x - 7), you can follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses.
-4 * -7x = 28x
-4 * -7 = 28
So the inequality becomes: 28 - 7x > 28x + 28
Step 2: Simplify the inequality by combining like terms.
Move the terms with x to one side of the inequality and the constant terms to the other side.
-7x - 28x > 28 - 28
Simplify:
-35x > 0
Step 3: Divide both sides of the inequality by -35. Remember that dividing by a negative number reverses the inequality sign.
(-35x) / -35 < 0 / -35
Simplify:
x < 0
Therefore, the solution to the inequality 28 - 7x > -4(-7x - 7) is x < 0.