Stuck on solving this inequality, help please.
3X le 15 and 2x gt -6
Where is the inequality symbol?
Proofread your questions before you post them.
To solve the inequality 3x ≤ 15, you need to isolate the variable x. Here's how you can do it:
1. Start with the inequality: 3x ≤ 15.
2. Divide both sides of the inequality by 3. This step is necessary because we want to isolate the variable x. Since 3 is positive, we don't need to switch the direction of the inequality. Divide both sides by 3: (3x) / 3 ≤ 15 / 3.
3. Simplify the inequality: x ≤ 5.
Now let's move to the second inequality, 2x > -6. Here's how you can solve it:
1. Start with the inequality: 2x > -6.
2. Divide both sides of the inequality by 2. This step is necessary because we want to isolate the variable x. Since 2 is positive, we don't need to switch the direction of the inequality. Divide both sides by 2: (2x) / 2 > (-6) / 2.
3. Simplify the inequality: x > -3.
So the solution to the system of inequalities is x ≤ 5 and x > -3. We can represent this solution graphically or using interval notation.