Identify Inequality and Goal: Identify the inequality and the goal. We need to solve the inequality -4 + x ≤ 9 to find the values of x that satisfy it.Isolate Variable: Isolate the variable x on one side of the inequality. To do this, we add 4 to both sides of the inequality -4 + x ≤ 9 to cancel out the -4 on the left side. -4 + x + 4 ≤ 9 + 4Simplify Inequality: Simplify both sides of the inequality. x ≤ 13Check Solution: Check the solution. We can test a value less than 13 to see if it satisfies the original inequality. Let's test x = 10. -4 + 10 ≤ 9 6 ≤ 9 which is true, so there is no math error.

Algebra 2

Factor quadratics

Full solution

-4+x\leq9

Identify Inequality and Goal: Identify the inequality and the goal. $\newline$ We need to solve the inequality $-4 + x \leq 9$ to find the values of $x$ that satisfy it.
Isolate Variable: Isolate the variable $x$ on one side of the inequality. $\newline$ To do this, we add $4$ to both sides of the inequality $-4 + x \leq 9$ to cancel out the $-4$ on the left side. $\newline$ $-4 + x + 4 \leq 9 + 4$
Simplify Inequality: Simplify both sides of the inequality. $x \leq 13$
Check Solution: Check the solution. $\newline$ We can test a value less than $13$ to see if it satisfies the original inequality. Let's test $x = 10$ . $\newline$ $-4 + 10 \leq 9$ $\newline$ $6 \leq 9$ which is true, so there is no math error.