Questions: Solve and graph the solution set. x+3<4x-3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Simplify your answer. Type your answer in interval notation.) B. There is no solution Choose the correct graph below. B. C. D.

Solve and graph the solution set. x+3<4x-3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Simplify your answer. Type your answer in interval notation.) B. There is no solution Choose the correct graph below. B. C. D.
Transcript text: Solve and graph the solution set. \[ x+3<4 x-3 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Simplify your answer. Type your answer in interval notation.) B. There is no solution Choose the correct graph below. B. c. D.
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Solution

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Solution Steps

Step 1: Isolate the variable

To solve the inequality \( x - 3 \leq 4x - 3 \), we first isolate the variable \( x \).

Subtract \( x \) from both sides: \[ -3 \leq 3x - 3 \]

Step 2: Simplify the inequality

Next, add 3 to both sides to further simplify: \[ 0 \leq 3x \]

Step 3: Solve for \( x \)

Divide both sides by 3 to solve for \( x \): \[ 0 \leq x \] or \[ x \geq 0 \]

Final Answer

The solution set is \( [0, \infty) \). The correct graph is option B.

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