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Solve the compound inequality. 4y + 3 > -9 and 2y + 6 ≥ 12 Graph the solution on the number line. If there...

Solve the compound inequality.
4y + 3 > -9 and 2y + 6 ≥ 12
Graph the solution on the number line.
If there is no solution, click on "No solution".

Answer

  1. First inequality:
    4y + 3 > -9
    Subtract 3 from both sides:
    4y > -12
    Divide by 4:
    y > -3

  2. Second inequality:
    2y + 6 ≥ 12
    Subtract 6 from both sides:
    2y ≥ 6
    Divide by 2:
    y ≥ 3

  3. Combine the inequalities:
    y > -3 and y ≥ 3
    The solution is y ≥ 3.

  4. Graph the solution on the number line starting from 3 and extending to the right.

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