Question Prompt: Question prompt: What is the solution to the inequality -12 ≤ 44 + x?Isolate the Variable: Isolate the variable x on one side of the inequality. To do this, we need to subtract 44 from both sides of the inequality -12 ≤ 44 + x. Calculation: -12 - 44 ≤ 44 + x - 44Simplify Inequality: Simplify both sides of the inequality after the subtraction. Calculation: -56 ≤ xCheck Solution: Check the inequality to ensure that the variable x is correctly isolated and the inequality sign is in the correct direction. The inequality -56 ≤ x means that x is greater than or equal to -56.Write in Interval Notation: Write the final answer in interval notation, if necessary. The solution set in interval notation is [-56, ∞).

Algebra 2

Factor quadratics

Full solution

-12 \leq 44 + x

Question Prompt: Question prompt: What is the solution to the inequality $-12 \leq 44 + x$ ?
Isolate the Variable: Isolate the variable $x$ on one side of the inequality. $\newline$ To do this, we need to subtract $44$ from both sides of the inequality $-12 \leq 44 + x$ . $\newline$ Calculation: $-12 - 44 \leq 44 + x - 44$
Simplify Inequality: Simplify both sides of the inequality after the subtraction. $\newline$ Calculation: $-56 \leq x$
Check Solution: Check the inequality to ensure that the variable $x$ is correctly isolated and the inequality sign is in the correct direction. $\newline$ The inequality $-56 \leq x$ means that $x$ is greater than or equal to $-56$ .
Write in Interval Notation: Write the final answer in interval notation, if necessary. $\newline$ The solution set in interval notation is [\(-56, \infty)\].