Final answer:
To find the solutions to the inequalities x < 3, x > 3, x ≤ 3, and x ≥ 3, we need to determine the values of x that satisfy each inequality. For x < 3, any number smaller than 3 would be a solution. For x > 3, any number larger than 3 would be a solution. For x ≤ 3, any number smaller than or equal to 3 would be a solution. For x ≥ 3, any number larger than or equal to 3 would be a solution.
Step-by-step explanation:
To find the solutions to the inequality:
a) x < 3
We need to find the values of x that are less than 3. This means any number that is smaller than 3 will satisfy this inequality. For example, x = 2 or x = 1 would be solutions.
b) x > 3
We need to find the values of x that are greater than 3. This means any number that is larger than 3 will satisfy this inequality. For example, x = 4 or x = 5 would be solutions.
c) x ≤ 3
We need to find the values of x that are less than or equal to 3. This means any number that is smaller than or equal to 3 will satisfy this inequality. For example, x = 3 or x = 2 would be solutions.
d) x ≥ 3
We need to find the values of x that are greater than or equal to 3. This means any number that is larger than or equal to 3 will satisfy this inequality. For example, x = 3 or x = 4 would be solutions.
So, the correct option for each part is:
a) x < 3
b) x > 3
c) x ≤ 3
d) x ≥ 3