Solve 5x/9<8 . Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point) $$

Answer 1

To solve the inequality, we need to isolate x.

First, we can multiply both sides of the inequality by 9 to eliminate the fraction:

\(\frac{5x}{9} \times 9 < 8 \times 9\)

This simplifies to:

\(5x < 72\)

Next, we can divide both sides of the inequality by 5 to solve for x:

\(\frac{5x}{5} < \frac{72}{5}\)

This simplifies to:

\(x < \frac{72}{5}\)

To represent the improper fraction \(\frac{72}{5}\) as a mixed number, we divide the numerator (72) by the denominator (5) and write the quotient as a whole number part and a proper fraction part:

\(72 \div 5 = 14\) with a remainder of 2

The quotient is 14 and the remainder is 2, so the mixed number form is:

\( \frac{72}{5} = 14 \frac{2}{5} \)

Therefore, the solution to the inequality is:

\( x < 14 \frac{2}{5} \)

Answer 2

Solve 7.9x≤0. Make sure to write your inequality so that x comes first. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point)

Answer 3

To solve the inequality, we need to isolate x.

First, we divide both sides of the inequality by 7.9:

\( \frac{7.9x}{7.9} \leq \frac{0}{7.9} \)

This simplifies to:

\( x \leq 0 \)

Therefore, the solution to the inequality is:

\( x \leq 0 \)