step 1: subtract 3 from both sides of the inequality. step 2: ____________ step 3: divide both sides of the…

step 1: subtract 3 from both sides of the inequality. 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? add 2x to both sides of the inequality. subtract 8x from both sides of the inequality. subtract 2x from both sides of the inequality. add 8x to both sides of the inequality.
Answer
Explanation:
Step1: Given inequality
$5 - 8x<2x + 3$ After step 1 (subtract 3 from both sides), we get $5-3 - 8x<2x+3 - 3$, which simplifies to $2 - 8x<2x$.
Step2: Isolate x - terms on one side
To get all the x - terms on one side, we subtract 2x from both sides of the inequality. So we have $2-8x - 2x<2x-2x$, which simplifies to $2 - 10x<0$.
Step3: Solve for x
Divide both sides of the inequality by the coefficient of x (- 10). When dividing an inequality by a negative number, the direction of the inequality sign changes.
Answer:
Subtract 2x from both sides of the inequality.