Final answer:
The solution to the inequality −6≤1+3x is x ≥ −2.333, indicating that all values greater than or equal to −2.333 satisfy the inequality.
Step-by-step explanation:
The student's question involves solving the inequality −6≤1+3x. To find the solution, we first isolate the variable x on one side of the inequality.
- Subtract 1 from both sides: −6 - 1 ≤ 3x => −7 ≤ 3x.
- Divide both sides by 3: −7/3 ≤ x => −2.333 ≤ x.
Therefore, the solution to the inequality is x ≥ −2.333. This means the set of all values greater than or equal to −2.333 are solutions to the inequality.