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Step 1: Subtract 3 from both sides of the inequality. Which is a correct first step in solving 5 – 2x < 8x – 3?Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 – 8x < 2x + 3?

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afore7027
Step 1: 5-3-2x<8x+3-3
Step 2: you would subtract 2x from both sides
Step 3: 2-2x/2<8x/2 
lublana

Answer:

Step 1: [tex]5-2x-3<8x-3-3[/tex]

Step 2: Adding 2x on both side of inequality.

Step-by-step explanation:

We are given that an inequality

[tex]5-2x<8x-3[/tex]

We have to find the first step and missing step 2 in solving the given inequality

[tex]5-8x<2x-3[/tex]

We are given that first step

Step 1: Subtract 3 from both side of the inequality

[tex]5-2x<8x-3[/tex]

Then we get

Step 1: [tex]5-2x-3<8x-3-3[/tex]

Now, we are finding the second step

[tex]2-2x<8x-6[/tex]

By simplification

[tex] 2+6-2x<8x-6+6[/tex]

By adding 6 on both side

[tex]8-2x<8x[/tex]

Step 2: Adding 2x on both side of inequality  

Step 2:[tex]8-2x+2x<8x+2x[/tex]

[tex]8<10x[/tex]

Step 3:Divide both sides of the inequality by the coefficient of x.

Then we get

Step 3: [tex] \frac{4}{5}<x[/tex]

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