Identify Operation for Isolation: Determine what operation will isolate x in the inequality -22 <= x + 8. To isolate x, we need to subtract 8 from both sides of the inequality. -22 - 8 <= x + 8 - 8Subtract 8 from Both Sides: Perform the subtraction on both sides of the inequality. -22 - 8 <= x -30 <= xPerform Subtraction: Check the solution by substituting a value that should satisfy the inequality. Let's check if x = -30 satisfies the inequality. -22 <= -30 + 8 -22 <= -22 Since -22 is equal to -22, the inequality holds true.Check Solution: Write the solution set for the inequality. The solution set is all real numbers greater than or equal to -30.

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$-22 \leq x+8$

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Algebra 2

Composition of linear and quadratic functions: find a value

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-22 \leq x+8

Identify Operation for Isolation: Determine what operation will isolate $x$ in the inequality $-22 \leq x + 8$ . To isolate $x$ , we need to subtract $8$ from both sides of the inequality. $-22 - 8 \leq x + 8 - 8$
Subtract $8$ from Both Sides: Perform the subtraction on both sides of the inequality. $\newline$ $-22 - 8 \leq x$ $\newline$ $-30 \leq x$
Perform Subtraction: Check the solution by substituting a value that should satisfy the inequality. $\newline$ Let's check if $x = -30$ satisfies the inequality. $\newline$ $-22 \leq -30 + 8$ $\newline$ $-22 \leq -22$ $\newline$ Since $-22$ is equal to $-22$ , the inequality holds true.
Check Solution: Write the solution set for the inequality. $\newline$ The solution set is all real numbers greater than or equal to $-30$ .