Question

What are the integer solutions to the inequality below? 3 ≤ 3 x − 4 ≤ 2 x + 1

Answer 1

Answer:

$x$ can be $3$, $4$, or $5$

Step-by-step explanation:

Let's split the inequality and solve it piece by piece.

Case: $3$

We add $4$ to both sides to get $7$.

We divide both sides by $3$ to get $7/3$.

So, $x>=7/3$.

Case: $3x-4$

We subtract 2x from both sides to get $x-4$.

We add $4$ to both sides to get $x$.

So, we want to find the integer solutions to $7/3$.

$7/3= 2 1/3$, so $x$ can be $3$, $4$, or $5$.

So, $x$ can be $3$, $4$, or $5$ and we're done!