SAT Question 4047cfa7: Linear Inequalities answer and explanation with Desmos solution

Choice A is correct. It's given that a student's essay needs to have no more than $5,000$ words. It’s also given that the student’s essay already has $3,026$ words. Let $x$ represent the number of additional words the student includes in the essay. After including $x$ additional words, the essay will have a total of $3,026+x$ words. Since the essay needs to have no more than $5,000$ words, it follows that $3,026+x\le 5,000$. Subtracting $3,026$ from both sides of this inequality yields $x\le 1,974$. Thus, the maximum number of additional words the student can include in the essay is $1,974$.