Final answer:
Inverse relationships between operations are used to solve two-step inequalities by reversing the operations performed on the variable.
Step-by-step explanation:
Inverse Relationships Between Operations in Two-Step Inequalities
Two-step inequalities involve solving mathematical expressions that require two operations to find the solution. Inverse relationships between operations are used to solve these inequalities because they help isolate the variable and obtain the final solution. The inverse relationship allows us to undo the operations performed on the variable, effectively reversing their effects and solving the inequality.
For example, let's consider the two-step inequality 3x + 5 > 10. To isolate the variable 'x', we first subtract 5 from both sides to get 3x > 5. Then, we divide both sides by 3, which is the inverse of multiplication, to find x > 5/3.
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