Isolate term with n: Isolate the term with n. We have the inequality 3n+4≤10. To isolate the term with n, we need to get rid of the constant term on the left side, which is 4. We do this by subtracting 4 from both sides of the inequality. 3n+4−4≤10−4
Simplify both sides: Simplify both sides of the inequality.After subtracting 4 from both sides, we get:3n≤6This simplifies the inequality and keeps the balance, as we have done the same operation to both sides.
Divide by coefficient of n: Divide both sides by the coefficient of n. To solve for n, we need to divide both sides of the inequality by 3, which is the coefficient of n. 33n≤36
Solve for n: Solve for n.After dividing both sides by 3, we get:n≤2This gives us the value of n that satisfies the inequality.