Questions: Solve the inequality, and graph the solution on a number line. -5x - 3 < 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is (Type an inequality. Simplify your answer.) B. The solution is all real numbers. C. There is no solution. Choose the correct graph of the inequality. A. B. C. D. E. F.

Solve the inequality, and graph the solution on a number line.
-5x - 3 < 12

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Type an inequality. Simplify your answer.)
B. The solution is all real numbers.
C. There is no solution.

Choose the correct graph of the inequality.
A.
B.
C.
D.
E.
F.

Transcript text: Solve the inequality, and graph the solution on a number line. \[ -5 x-3<12 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\square$ (Type an inequality. Simplify your answer.) B. The solution is all real numbers. C. There is no solution. Choose the correct graph of the inequality. A. $\qquad$ B. C. D. $\qquad$ E. F.

Solution

Solution Steps

Step 1: Add 3 to both sides

$-5x - 3 + 3 < 12 + 3$ $-5x < 15$

Step 2: Divide both sides by -5 and flip the inequality sign

$\frac{-5x}{-5} > \frac{15}{-5}$ $x > -3$

Step 3: Choose the correct graph

The correct graph should represent all numbers greater than -3. This corresponds to graph E, which has an open circle at -3 and extends to the right, indicating all values greater than -3 are included.