To solve the inequality 2/3 x < 5, we first need to isolate x. We can do this by multiplying both sides of the inequality by 3/2 (the reciprocal of 2/3). This gives us:
3/2 * (2/3) x < 3/2 * 5
x < 15/2
The inequality x < 15/2 represents all the values of x that are less than 15/2. We can represent this graphically on the number line:
Option B shows the solution to the inequality 2/3 x < 5.
Solve the inequality 2/3 x < 5. Which of the following graphs shows the solution?
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1 answer