Question

Anyone really good with inequalities... i have the answers to the questions i just need the steps

Answer 1

7- 2(x-4) < 5(1 -2x)

Answer 2

the answer is: x < -5/4

Answer 3

You need the steps again?

Answer 4

yea

Answer 5

cuz I'm studying for my test tomorrow and my teacher gave us a study guide with the questions and the answers and some of them i can't figure it out

Answer 6

ok first you should simplify

Answer 7

ultimately youre gonna wanna combine like terms

Answer 8

so first simplify both sides then combine like terms

Answer 9

Algebraic Steps
Step 1) 7- 2(x-4) < 5(1 -2x)
Step 2) 7-2x+8 < 5 - 10x
Step 3) -2x+15 < 5 - 10x
Step 4) -2x+15+10x < 5 - 10x+10x
Step 5) 8x+15 < 5
Step 6) 8x+15-15 < 5-15
Step 7) 8x < -10
Step 8) 8x/8 < -10/8
Step 9) x < -5/4



Explanation of each step (shown above)
Step 1) Original inequality; no explanation needed really
Step 2) Distribute. Make sure to distribute the outer term to EVERY term inside
Step 3) Combine like terms (left side: 7+8 = 15)
Step 4) Add 10x to both sides
Step 5) Combine like terms (-2x+10x=8x and -10x+10x=0x)
Step 6) Subtract 15 from both sides
Step 7) Combine like terms (15-15 = 0 and 5-15 = -10)
Step 8) Divide both sides by 8 to completely isolate x
Step 9) Reduce all fractions as much as possible



So when we solve `7- 2(x-4) < 5(1 -2x)` for x, we get `x < -5/4`