Answer: A
Step-by-step explanation:
First, focus on the left side of the inequality. Make the two fraction have common denominators:
[tex]\frac{2}{3} *\frac{5}{5} -\frac{x}{5} *\frac{3}{3}[/tex]
Multiplying fractions is simple. Multiply through and through like you normally would:
[tex]\frac{10}{15} -\frac{3x}{15} <\frac{4}{5}[/tex]
Since they have the same denominator, they can be combined into one fraction:
[tex]\frac{10-3x}{15} <\frac{4}{5}[/tex]
Multiply both sides of the inequality by 15:
[tex]10-3x<\frac{60}{5}[/tex]
[tex]10-3x<12[/tex]
Subtract both sides by 10:
[tex]-3x<2[/tex]
[tex]x>-\frac{2}{3}[/tex]
Okay so, we know the answer must be greater than -2/3. This immediately rules out answer C. Answer B is also not the solution because zero is not a natural number. The smallest natural number that is greater than -2/3 is answer A.
