4. Find the solution set of the inequalities. Present the solution sets graphically on a number line and in interval notation. (a) 2x +5 < -3 or 3x - 3 > 15 (b) 2x + 2 > 12 and 4x +6 < -6 5. Find the solution set of the equation. 3 |u + 7| – 24 = -27 6. Find the solution set of the inequality. Present the solution set graphically on a number line and in interval notation. |3y + 6| – 5 > 4 7. Clearly explain why the equation a| +5 = 0 has no solution.

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.