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Solve for $x$ and graph the solution on the number line below. $\newline$ $\frac{x}{-2} < 0$ $\newline$ Answer Attempt $1$ out of $2$ $\newline$ $<$ $\newline$ $\geq$ $\newline$ $\geq$ or $\newline$ Inequality Notation: $\newline$ Number Line:

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Find indefinite integrals using the substitution and by parts

Full solution

Q. Solve for

x

and graph the solution on the number line below.

\newline

\frac{x}{-2} < 0

\newline

Answer Attempt

1

out of

2

\newline

<

\newline

\geq

\newline

\geq

or

\newline

Inequality Notation:

\newline

Number Line:

Identify Negative Expression: To solve the inequality $(x)/(-2) < 0$ , we need to find the values of $x$ that make the expression negative.
Multiply by $-2$ : Since dividing by a negative number reverses the inequality, we can multiply both sides of the inequality by $-2$ to isolate $x$ . This gives us $x > 0$ .
Determine Solution Set: The solution to the inequality $x > 0$ is all positive numbers. This means that $x$ can be any number greater than $0$ .
Represent on Number Line: To represent this on a number line, we draw an open circle at $0$ and shade the line to the right of $0$ , indicating all numbers greater than $0$ are included in the solution.

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