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) Prove or disprove the statements: (a) If x is a real number such that |x...

) Prove or disprove the statements: (a) If x is a real number such that |x + 2| + |x| ≤ 1, then |x ^2 + 2x − 1| ≤ 2. (b) If x is a real number such that |x + 2| + |x| ≤ 2, then |x^ 2 + 2x − 1| ≤ 2. (c) If x is a real number such that |x + 2| + |x| ≤ 3, then |x ^2 + 2x − 1 | ≤ 2. (d) If x is a real number such that |x + 2| + |x| ≤ 5, then | x ^2 + 2x − 1 ≤ 2.|

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