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QUESTION IMAGE

a weather reporter states that tomorrows temperature will be twice toda…

Question

a weather reporter states that tomorrows temperature will be twice todays temperature, but that tomorrows temperature will not be more than 4°f. which graph shows the possible values for todays temperature? a. -4 -3 -2 -1 0 1 2 3 4 b. -4 -3 -2 -1 0 1 2 3 4 c. -4 -3 -2 -1 0 1 2 3 4 d. -4 -3 -2 -1 0 1 2 3 4

Explanation:

Step1: Define variables

Let $x$ be today's temperature. Then tomorrow's temperature is $2x$.

Step2: Set up inequality

Since tomorrow's temperature will not be more than 4°F, we have the inequality $2x\leq4$.

Step3: Solve the inequality

Divide both sides of $2x\leq4$ by 2. We get $x\leq2$.

Answer:

A. The graph with a closed - circle at 2 and the line extending to the left represents the values of $x$ such that $x\leq2$.