Final answer:
The inequality to find the number of rose blooms in Brittany's garden, given that she has at least 76 lily blooms and there are 24 more lily blooms than rose blooms, is R ≥ 52, where R represents the number of rose blooms.
Step-by-step explanation:
Brittany's garden has at least 76 lily blooms, and we know that there are 24 more lily blooms than rose blooms. Let's denote the number of rose blooms as R. The relationship between the number of lily blooms (L) and the number of rose blooms (R) can be expressed as L = R + 24. Since Brittany has at least 76 lily blooms, we can write the inequality for the lilies as L ≥ 76. Substituting the relationship into the inequality, we get R + 24 ≥ 76. To find the number of rose blooms, we can subtract 24 from both sides of the inequality, giving us R ≥ 52. This means Brittany has at least 52 rose blooms in her garden.