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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?

Verified Answer :

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

Answer:

Step 1: \(5-2x-3<8x-3-3\)

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

Step-by-step explanation:

We are given that an inequality

\(5-2x<8x-3\)

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

\(5-8x<2x-3\)

We are given that first step

Step 1: Subtract 3 from both side of the inequality

\(5-2x<8x-3\)

Then we get

Step 1: \(5-2x-3<8x-3-3\)

Now, we are finding the second step

\(2-2x<8x-6\)

By simplification

\(2+6-2x<8x-6+6\)

By adding 6 on both side

\(8-2x<8x\)

Step 2: Adding 2x on both side of inequality  

Step 2:\(8-2x+2x<8x+2x\)

\(8<10x\)

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

Then we get

Step 3: \(\frac{4}{5}