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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

Respuesta :

Step-by-step explanation:

[tex]3x+\frac{5}{8}\geq 4x-\frac{1}{2}[/tex]

Subtract 5/8 on both sides

To subtract 5/8 we make the denominators same

[tex]3x\geq 4x-\frac{1*4}{2*4}-\frac{5}{8}[/tex]

Addition or Subtraction property of order is used

[tex]3x\geq 4x-\frac{9}{8}[/tex]

Subtract 4x on both sides

Addition or Subtraction property of order is used

[tex]-x\geq -\frac{9}{8}[/tex]

Now divide both sides by -1

Multiplication or Division property of order is used

[tex]\frac{-x}{-1} \geq \frac{-\frac{9}{8}}{-1}[/tex]

Multiplication or Division property of order is used

[tex]x\leq \frac{9}{8}[/tex]



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