P=4d-3 work out the value of p when d=2
2 answers:
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<h3>Answer: n = -11</h3>
The other choices are false, so choice C is the only solution here.
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Explanation:
Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.
The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...
See the diagram below.
Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.
With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.
The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.
Answer:
Part (A): The required inequality is T < 35 or t >40.
Part (B): The correct option is C) Only x=7.
Part (C) |x+1|+5=2 has no solution; |4x+12|=0 has one solution; |3x|=9 has two solution.
Step-by-step explanation:
Consider the provided information.
Part (A)
Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer than 40°F is an unsafe food practice.
The union is written as A∪B or “A or B”.
The intersection of two sets is written as A∩B or “A and B”
We need to determine the inequalities represent the union of these improper storage.
That means we will use A∪B or “A or B”.
The improper storage temperatures is when temperature is less than 35°F or greater than 40°F.
Hence, the required inequality is T < 35 or t >40.
Part (B) 15| x-7|+4=10|x-7|+4
Solve the inequality as shown below:
Subtract 4 from both sides.
Subtract 10|x-7| from both sides
Hence, the correct option is C) Only x=7.
Part (C) Match the solution,
Subtract 2 from both sides.
Absolute value cannot be less than 0.
Hence, |x+1|+5=2 has no solution.
Hence, |4x+12|=0 has one solution.
Hence, |3x|=9 has two solution.