solve using the multiplication principle:
-7x > 1/15
Solve: -4x < .8
Solution: Using the Multiplication Principle, multiply both
sides of the inequality by -.25. Then reverse the
signs.
-.25(-4x) > -.25(.8)
x > -.2
Wow you lost me. So how would that work with a fraction, do you still do it by -.25?
If 3X - 1 = 11, what is the value of X^2 + X?
-7x > 1/15
divide both sides by -7, remembering to reverse the inequality sign
x < -1/105
To solve the inequality -7x > 1/15 using the multiplication principle, we need to isolate the variable x.
Step 1: Simplify the inequality
Since the inequality involves a fraction, it helps to eliminate the fraction by multiplying both sides of the inequality by 15.
(-7x) * 15 > (1/15) * 15
This simplifies to:
-105x > 1
Step 2: Divide by the coefficient of x
To isolate x, divide both sides of the inequality by -105 (the coefficient of x), keeping in mind to reverse the inequality sign since we are dividing by a negative number.
(-105x) / -105 < 1 / -105
Simplifying further, we have:
x < -1/105
Therefore, the solution to the inequality -7x > 1/15 is x < -1/105.