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Writing inequalities involves expressing a relationship where two values or expressions are not equal, usually indicating that one is larger or smaller than the other. Key terms like 'greater than', 'less than', 'exceeds', or 'is at least' are often used. For example, in our exercise, the phrase 'exceeds 70' tells us that we need to use a 'greater than' (>) symbol. So, when we see 'the quantity \(m + 4\) exceeds 70', we set up the inequality as \(m + 4 > 70\). Such inequalities help us represent real-world conditions mathematically, which is a fundamental aspect of algebra.

Converting verbal statements to inequalities is a skill that requires understanding specific keywords and their mathematical equivalents. For instance, 'exceeds' translates to 'greater than' (>). Conversely, 'is less than' corresponds to the symbol (<). Here are some common keywords and their translations:

• 'greater than' = >
• 'less than' = <
• 'at least' = ≥
• 'at most' = ≤

To convert a verbal statement like 'The quantity \(m + 4\) exceeds 70' into an inequality, we start by identifying the critical phrases. 'The quantity \(m + 4\)' remains unchanged, and 'exceeds 70' tells us to use the 'greater than' symbol. Therefore, the inequality is written as \(m + 4 > 70\). Practicing this conversion process helps in solving various algebra problems.

Algebraic expressions are combinations of numbers, variables, and operations (like addition, subtraction, multiplication, and division) that represent a mathematical relationship. For example, in the exercise, \(m + 4\) is an algebraic expression. Variables like 'm' represent unknown values, while constants like 4 are fixed numbers. When we form inequalities, these expressions help describe real-world situations in a simplified and understandable way. The algebraic expression \(m + 4\) in the context of the problem stands as a mathematical statement indicating a quantity that is always 4 more than 'm'. Recognizing how these expressions work empowers us to set up and solve inequalities, equations, and other algebraic concepts efficiently.