（Ⅰ）求不等式 $f\left(x\right)\ge 2$ 的解集；

（Ⅱ）设函数 $f\left(x\right)$ 的最大值为M，若不等式 $x^2+2x+m\le M$ 有解，求m的取值范围．

    Hunter and Sally went down the street with their mother. They could buy a pet today. “I cannot wait to see the pets!”Sally said. She wanted a cat. Hunter wanted a frog or a snake.
    They went into the pet shop. “Look! That rabbit made a hole to hide in,” Sally said. “Look at those two cats,” said Hunter. Their cage was on the floor. The small and brown cats were asleep on each other.
    Sally leaned over the cage. She wanted a better look. The gold necklace she had around her neck came loose. It fell into the cage. It woke up the cats. “Oh no!” Sally cried. “I lost my necklace! It is in the cage!” Then the shopkeeper came. He opened the cage, and took out the necklace. At last, they bought two cats and took them home.

根据图中信息，下列说法正确的是（    ）