Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Mariana wears her winter coat when the temperature is colder than 4C-4^\circ\text{C}. If tt is the temperature, in C^\circ\text{C} , at which Mariana wears her winter coat, which of the following inequalities best models the situation? \newline(A) tt \newline(B) t>-4 \newline(C) t<4 \newline(D) t4t≥ 4

Full solution

Q. Mariana wears her winter coat when the temperature is colder than 4C-4^\circ\text{C}. If tt is the temperature, in C^\circ\text{C} , at which Mariana wears her winter coat, which of the following inequalities best models the situation? \newline(A) tt \newline(B) t>4t>-4 \newline(C) t<4t<4 \newline(D) t4t≥ 4
  1. Understand the problem: Understand the problem.\newlineMariana wears her winter coat when the temperature is colder than 4C-4^\circ\text{C}. We need to find an inequality that represents temperatures colder than 4C-4^\circ\text{C}.
  2. Translate the situation: Translate the situation into an inequality.\newlineThe phrase "colder than 4C-4^\circ\text{C}" means that the temperature is less than 4C-4^\circ\text{C}. Therefore, the inequality should show that the temperature tt is less than 4-4.
  3. Identify the correct inequality: Identify the correct inequality from the given options.\newline(A) t=4t = -4 is incorrect because it represents a temperature exactly at 4C-4^\circ\text{C}, not colder.\newline(B) t > -4 is incorrect because it represents temperatures warmer than 4C-4^\circ\text{C}.\newline(C) t < 4 is incorrect because it does not specify that the temperature is below zero, which is necessary for temperatures colder than 4C-4^\circ\text{C}.\newline(D) t4t \geq 4 is incorrect because it represents temperatures that are 4C4^\circ\text{C} or warmer.\newlineThe correct inequality is not listed explicitly, but we can infer that the intended correct option should be t < -4, which is not present among the options.

More problems from Convert between decimals and fractions