QUESTION IMAGE
Question
solve for x and graph the solution on the number line below.
-25 > -2x - 5 > -29
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
Step1: Add 5 to all parts
$$\begin{align*}
-25 + 5&> -2x-5 + 5> -29+5\\
-20&> -2x> -24
\end{align*}$$
Step2: Divide all parts by -2 (reverse inequalities)
$$\begin{align*}
\frac{-20}{-2}&<\frac{-2x}{-2}<\frac{-24}{-2}\\
10&
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Inequality Notation: \(10 < x < 12\)
For the number - line: Draw an open circle at \(x = 10\) (since \(x>10\)) and an open circle at \(x = 12\) (since \(x < 12\)), then connect the two open - circles with a line segment between them on the number - line.