Question

What is the justification for each step in solving the inequality?

3x+5/8≥4x−1/2

Select from the drop-down menus to correctly justify each step.

3x+5/8≥4x−1/2 Given

3x≥4x−9/8 ?????

−x≥−9/8 ?????

−x/−1≥−9/8/−1 ?????

x≤9/8 ?????

Chose from
Multiplication or Division property of order
Distributive property
Addition or Subtraction property of order

Answer 1

Explanation:

`3x+(5)/(8)\geq 4x-(1)/(2)`

Subtract 5/8 on both sides

To subtract 5/8 we make the denominators same

`3x\geq 4x-(1*4)/(2*4)-(5)/(8)`

Addition or Subtraction property of order is used

`3x\geq 4x-(9)/(8)`

Subtract 4x on both sides

Addition or Subtraction property of order is used

`-x\geq -(9)/(8)`

Now divide both sides by -1

Multiplication or Division property of order is used

`(-x)/(-1) \geq (-(9)/(8))/(-1)`

Multiplication or Division property of order is used

`x\leq (9)/(8)`