Respuesta :

gmany

Answer:

[tex]\large\boxed{x>\dfrac{9}{5}\to x>1\dfrac{4}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{2}{3}x-\dfrac{1}{5}>1\qquad\text{multiply both sides by LCD = 15}\\\\15\!\!\!\!\!\diagup^5\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-15\!\!\!\!\!\diagup^3\cdot\dfrac{1}{5\!\!\!\!\diagup_1}>(15)(1)\\\\(5)(2x)-(3)(1)>15\\\\10x-3>15\qquad\text{add 3 to both sides}\\\\10x>18\qquad\text{divide both sides by 10}\\\\x>\dfrac{18}{10}\\\\x>\dfrac{18:2}{10:2}\\\\x>\dfrac{9}{5}\to x>1\dfrac{4}{5}[/tex]

Answer: X>9/5

Step-by-step explanation:

Step 1: add 1/5 to both sides

2/3x -1/5+1/5>1+1/5

Step 2 :Simplify Your Answer to

2/3x>6/5

Step 3 :Multiply by both sides by 3

3*2/3x>6*3/5

Step 4: Simplify Your Answer To

2x>18/5

Step 5: divide by 2

2x/2 >18/5/2

Step 6 :Simplify your answer and u get

x>9/5

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