The symbol '>' in the inequality 3 > 0 represents 'greater than'. It indicates that the value on the left side (3) is greater in magnitude or quantity than the value on the right side (0).

In the inequality 5 - 2 < 3, the left side (5 - 2) evaluates to 3, which is less than the value on the right side (3). Therefore, the relationship between the values is 'less than'.

The inequality x > 0 implies that the variable x is greater than zero. This means that x must be a positive number.

To solve the inequality 2x - 5 ≤ 0, we need to isolate x. Adding 5 to both sides, we get 2x ≤ 5. Dividing both sides by 2, we get x ≤ 2.5. Therefore, the values of x that satisfy the inequality are those less than or equal to 2.5.

To solve the inequality -3x + 4 > 7, we need to isolate x. Subtracting 4 from both sides, we get -3x > 3. Dividing both sides by -3 (reversing the inequality since we are dividing by a negative number), we get x < -1. The smallest integer value that satisfies this inequality is -2.

Since a > b and b > c, we can conclude that a is greater than b, and b is greater than c. By the transitive property of inequalities, we can infer that a is also greater than c. Therefore, the relationship between a and c is a > c.

To solve the inequality 2x + 3 ≥ 5, we need to isolate x. Subtracting 3 from both sides, we get 2x ≥ 2. Dividing both sides by 2, we get x ≥ 1. The largest integer value that satisfies this inequality is 1.

To solve the inequality 4 - 2x ≤ 6, we need to isolate x. Subtracting 4 from both sides, we get -2x ≤ 2. Dividing both sides by -2 (reversing the inequality since we are dividing by a negative number), we get x ≥ -1. Therefore, the values of x that satisfy the inequality are those greater than or equal to -1.

The inequality x ≤ 0 implies that the variable x is less than or equal to zero. This means that x can be either a negative number or zero.

To solve the inequality 3x - 2 > 8, we need to isolate x. Adding 2 to both sides, we get 3x > 10. Dividing both sides by 3, we get x > 10/3. The smallest integer value that satisfies this inequality is 4.

To solve the inequality -2x + 5 < 1, we need to isolate x. Subtracting 5 from both sides, we get -2x < -4. Dividing both sides by -2 (reversing the inequality since we are dividing by a negative number), we get x > 2. Therefore, the values of x that satisfy the inequality are those greater than 2.

Since a > b and b = c, we can conclude that a is greater than b, and b is equal to c. By the transitive property of equality, we can infer that a is also greater than c. Therefore, the relationship between a and c is a > c.

To solve the inequality 5x - 3 ≥ 12, we need to isolate x. Adding 3 to both sides, we get 5x ≥ 15. Dividing both sides by 5, we get x ≥ 3. The largest integer value that satisfies this inequality is 3.

To solve the inequality 2 - 3x ≤ 4, we need to isolate x. Subtracting 2 from both sides, we get -3x ≤ 2. Dividing both sides by -3 (reversing the inequality since we are dividing by a negative number), we get x ≥ -2/3. Therefore, the values of x that satisfy the inequality are those greater than or equal to -2/3.

Since a > b and b > 0, we can conclude that a is greater than b, and b is greater than 0. By the transitive property of inequalities, we can infer that a is also greater than 0. Therefore, the relationship between a and 0 is a > 0.