The given statement, "The product of a number and four, increased by one, is at least 7", can be represented by the inequality 4x + 1 ≥ 7.
What are linear inequalities?
Linear inequalities are inequations involving an algebraic expression with at least one variable of degree, not more than 1.
How do we solve the given question?
In the question, we are asked to translate the statement, "The product of a number and four, increased by one, is at least 7", into an equation or an inequality.
We first form the algebraic expression, from the given statement.
We let the number be x.
The statement, "The product of a number and four", can be written as 4*x, or 4x.
Now, we need to increase this by one. This can be written as, 4x + 1.
We are informed that the expression 4x + 1 is at least 7. This means that the expression 4x + 1 is greater than or equal to 7, which can be represented by the inequality: 4x + 1 ≥ 7.
∴ The given statement, "The product of a number and four, increased by one, is at least 7", can be represented by the inequality 4x + 1 ≥ 7.
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