Question

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Answer 1

Hyy Dude

Step 1: –10 + 8x < 6x – 4 [use distributive property]

Step 2: –10 < –2x – 4 [subtract +8x from both sides retains sense of inequality]

Step 3: –6 < –2x [add +4 to both sides retains sense of inequality]

Step 4: 3 > x [divide by -2 reverses sense of inequality; could be written x<3;]

Check value x=0:

Is -2(5-4*0) < 6*0 - 4 ?

-10 < -4 ?yes

May this helps you

Plz marked in brainlest answer

Answer 2

$\huge\underline\mathcal\green{ANSWER}$

${\bf{\red{=>-2(5-4x)<(6x-4)}}}$

${\bf{\red{=>(-10+8x)<(6x-4)}}}$

${\bf{\red{=>8x-6x<-4+10}}}$

${\bf{\red{=>2x<6}}}$

${\bf{\red{=>x<3}}}$