To find: The solution of the inequality and the interval notation. Given: The given inequality equation is, displaystyle-{0.3}ge{2.4}

Concept used:
Consider the following steps to solve one variable linear inequality:
If an inequality contains fractions or decimals, multiply both sides by the LCD to clear the equation of fractions or decimals.
Use the distributive property to remove parentheses if present.
Simplify each side of the inequality by comining like terms.
Get all variable terms on one side and all numbers on the other side by using the addition property of inequality.
Get the variable alone by using the multiplication property of inequality.
The given inequality equation is,
${\displaystyle -0.3x\ge 2.4}$
${\displaystyle \frac{-0.3x}{0.3}\le \frac{2.4}{-0.3}}$
${\displaystyle x\le -8}$
The interval notation of the inequality is ${\displaystyle (-\mathrm{\infty },-8]}$
Answer:
The solution of the inequality is ${\displaystyle x\le -8}$,
and the interval notation is ${\displaystyle (-\mathrm{\infty },-8].}$