Questions: Complete parts (a) through (d) below to see the connection between the solution (a) solve 3x+4=13, and graph the solution set on a number line. Select the correct A. The solution set is (Type your answer in interval notation.) B. The solution set is 3. (Use a comma to separate answers as needed.) Graph the solution set. Choose the correct graph below. A. C. E. (b) Solve 3x+4>13, and graph the solution set on a number line. Select the correct A. The solution set is . (Use a comma to separate answers as needed.) B. The solution set is (Type your answer in interval notation.)

Complete parts (a) through (d) below to see the connection between the solution
(a) solve 3x+4=13, and graph the solution set on a number line. Select the correct
A. The solution set is
(Type your answer in interval notation.)
B. The solution set is 3.
(Use a comma to separate answers as needed.)
Graph the solution set. Choose the correct graph below.
A.
C.
E.
(b) Solve 3x+4>13, and graph the solution set on a number line. Select the correct
A. The solution set is .
(Use a comma to separate answers as needed.)
B. The solution set is
(Type your answer in interval notation.)

Transcript text: Complete parts (a) through (d) below to see the connection between the solution (a) solve $3 x+4=13$, and graph the solution set on a number line. Select the correct A. The solution set is $\square$ (Type your answer in interval notation.) B. The solution set is $\{3\}$. (Use a comma to separate answers as needed.) Graph the solution set. Choose the correct graph below. A. $\qquad$ C. $\qquad$ E. $\qquad$ (b) Solve $3 x+4>13$, and graph the solution set on a number line. Select the correct A. The solution set is $\square$ \}. (Use a comma to separate answers as needed.) B. The solution set is $\square$ (Type your answer in interval notation.)

Solution

Solution Steps

Solution Approach

(a) To solve the equation $3x + 4 = 13$, isolate $x$ by subtracting 4 from both sides and then dividing by 3. The solution set is a single value. (b) To solve the inequality $3x + 4 > 13$, isolate $x$ by subtracting 4 from both sides and then dividing by 3. The solution set is an interval.

Step 1: Solve the Equation $3x + 4 = 13$

To solve the equation $3x + 4 = 13$, we first isolate $x$: \[ 3x + 4 = 13 \] Subtract 4 from both sides: \[ 3x = 9 \] Divide both sides by 3: \[ x = 3 \]

Step 2: Solve the Inequality $3x + 4 > 13$

To solve the inequality $3x + 4 > 13$, we first isolate $x$: \[ 3x + 4 > 13 \] Subtract 4 from both sides: \[ 3x > 9 \] Divide both sides by 3: \[ x > 3 \]