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?
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}