I am having problems with inequality problems.
The opposite of g is at least -5. Write an inequality and solve.
To solve this inequality problem, we can follow these steps:
Step 1: Assign a variable to the unknown quantity. Let's call it "g".
Step 2: Translate the problem into mathematical expressions. The opposite of g can be represented as "-g". The phrase "at least" implies that we are looking for values that are greater than or equal to a certain number. In this case, the phrase "at least -5" means we are looking for values of "-g" that are greater than or equal to -5.
Step 3: Write the inequality. From step 2, we can write the inequality as "-g ≥ -5".
Step 4: Solve the inequality for g. To do this, we need to isolate the variable g. In this case, we can do that by multiplying both sides of the inequality by -1, and remember that when we multiply (or divide) an inequality by a negative number, we need to reverse the inequality sign. Multiplying both sides by -1, we get "g ≤ 5".
So, the solution to the inequality is "g ≤ 5". This means that any value of g that is less than or equal to 5 satisfies the given condition that the opposite of g is at least -5.