Chapter 1.5, Problem 1LC

Solution

To write an inequality for the given sentence.

  $R\ge J$

Given:

Rachel’s hair is at least as long as Julia’s.

Concept Used:

• If there is the strict inequality symbol $<\text{ or}>$ , then use a parenthesis $\left(\right)$ on the interval
• If there is the inequality symbol $\le \text{ or}\ge$ , then use a bracket $\left[\right]$ on the interval
• To graph the endpoint with strict inequality $<\text{ or}>$ , use the open parenthesis or a hollow circle at that endpoint.
• To graph the endpoint with inequality symbol $\le \text{ or}\ge$ , use the bracket or a solid circle at that endpoint.
• Multiplying or dividing an inequality by a negative number reverse the inequality sign.

Calculation:

Let R represent the length of the hairs of Rachel and J represents the hair length of Julia.

Since the hair length of Rachel is at least as long as of Julia, the length of Rachel’s hair must be greater than or equal to the length of the Julia’s hairs.

Thus, the inequality that represent the given sentence is $R\ge J$ .