Question

What is the solution to -2(8x-4) is less than 2x+5?

Answer 1

Answer:

=−16x+8 for -2(8x-4)

Step-by-step explanation:

What is the solution to -2(8x-4)= -8x

What is the solution to 2x+5= 7x

so that means -2(8x-4) is less than 2x+5.

Answer 2

Answer: x > 1/6

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute:

-16x + 8 < 2x + 5

Subtract 2x from both sides:

-18x + 8 < 5

Subtract 8 from both sides:

-18x < -3

Divide both sides by -18:

x > 3/18 BUT this simplifies to:

x > 1/6

The reason the inequality flipped is because you divided both sides by a negative number.

The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.

Hope this helps!