solve the inequality 2/3x_<5 . Which of the following graphs show the solution
The inequality is 2/3x ≤ 5.
To solve this inequality, we can multiply both sides by 3 to get rid of the fraction:
(2/3)x ≤ 5
3(2/3)x ≤ 3(5)
2x ≤ 15
x ≤ 15/2
x ≤ 7.5
The solution to the inequality is x ≤ 7.5. This means that x can take any value less than or equal to 7.5.
Out of the following graphs, the one that shows the solution is the graph where the shaded region is to the left of or on the number 7.5 on the x-axis.