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Solve the following inequality: $\newline$ $-2-2(x+9.2) \leq -6$

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Solve quadratic inequalities

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Q. Solve the following inequality:

\newline

-2-2(x+9.2) \leq -6

Distribute $-2$ : First, we need to distribute the $-2$ across the parentheses. $\newline$ $-2 - 2(x + 9.2) = -2 - 2x - 18.4$
Combine like terms: Next, we combine like terms on the left side of the inequality. $\newline$ $-2 - 18.4 = -20.4$ $\newline$ So, the inequality becomes: $\newline$ $-20.4 - 2x \leq -6$
Add $20$ . $4$ : Now, we add $20.4$ to both sides of the inequality to isolate the term with the variable $x$ . $\newline$ $-20.4 + 20.4 - 2x \leq -6 + 20.4$ $\newline$ This simplifies to: $\newline$ $-2x \leq 14.4$
Divide by $-2$ : To solve for $x$ , we divide both sides of the inequality by $-2$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-2x / -2 \geq 14.4 / -2$ $\newline$ This gives us: $\newline$ $x \geq -7.2$

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