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Find the solution of the linear inequality. Express the solution set in set-builder notation. Select the correct choice below to complete your choice. $\newline$ A. The solution set is $\{x \mid \}$ . $\newline$ (Use integers or fractions for any numbers in the expression) $\newline$ B. The solution is all real numbers. $\newline$ C. The solution set is the empty set.

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Solve higher-degree inequalities

Full solution

Q. Find the solution of the linear inequality. Express the solution set in set-builder notation. Select the correct choice below to complete your choice.

\newline

A. The solution set is

\{x \mid \}

.

\newline

(Use integers or fractions for any numbers in the expression)

\newline

B. The solution is all real numbers.

\newline

C. The solution set is the empty set.

Isolate variable x: First, we need to isolate the variable $x$ on one side of the inequality. We can start by adding $4x$ to both sides of the inequality to eliminate the $x$ term on the right side. $\newline$ $-3x + 4x + 4 < 10 - 4x + 4x$ $\newline$ This simplifies to: $\newline$ $x + 4 < 10$
Subtract to solve $x$ : Next, we subtract $4$ from both sides of the inequality to solve for $x$ . $x + 4 - 4 < 10 - 4$ This simplifies to: $x < 6$
Express solution set: Now that we have isolated $x$ , we can express the solution set in set-builder notation. The solution set includes all $x$ values that are less than $6$ . The correct choice is A, and the solution set is: $\{x | x < 6\}$

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Use integers or fractions for any numbers in the expression

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