Which interval is the solution set to 0.35x – 4.8 < 5.2 – 0.9x?(–∞, –8)(–∞, 8)(–8, ∞)(8, ∞)
The solution to the inequality is [___].
[___]
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
Which student’s first step was incorrect, and why?Amelia’s, because the variable term must be isolated on the left sideLuis’s, because he flipped the inequality sign when he subtractedShauna’s, because she did not apply the subtraction property of equality properly Clarence’s, because the terms he added together were not like terms
Which represents the solution set to the inequality ?x –1x (–∞, –1](–∞, ]
Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply. x = –1.1x = –2.2x = 0x = –10x = 10
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Question text not available
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is [___].
Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.
The solution 0 ≤ t < 52.5 means that Riko will be behind Yuto from the moment she leaves the house (t = 0) until she catches up to him at 52.5 minutes. Time cannot be less than zero because t represents the duration of the ride starting from the moment Riko leaves, and time cannot be negative.
Sample Response: The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative. What did you include in your response? Check all that apply.Riko will be behind Yuto from the time she leaves her house until 52.5 minutes into her ride.t = 0 represents the time
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