Final answer:
To solve 5/3x ≤ 10, divide both sides by 5/3 to get x ≤ 6. Graph the solution by shading the region where x is less than or equal to 6.
Step-by-step explanation:
To solve the inequality 5/3x ≤ 10, we first need to isolate x.
Divide both sides of the inequality by 5/3 to get x ≤ 10 ÷ (5/3). When dividing by a fraction, we can multiply by its reciprocal, so x ≤ 10 × (3/5).
Simplifying further, x ≤ 30/5, which simplifies to x ≤ 6.
To graph the solution, we represent the values of x on the x-axis and shade in the region where x is less than or equal to 6.