Explain how to find the solution set.

[size=150]She knows the solution to the equation [math]15-x=14[/math] is [math]x=1[/math].[/size][br][br]How can Lin determine whether [math]x>1[/math] or [math]x<1[/math] is the solution to the inequality?

[size=150]People who use plan A pay 10 cents for each text sent or received. People who use plan B pay 12 dollars per month, and then pay an additional 2 cents for each text sent or received.[/size][br][br]Write an inequality to represent the fact that it is cheaper for someone to use plan A than plan B. Use [math]x[/math] to represent the number of texts they send.

Solve the inequality.

[math]\displaystyle \begin{align} \text-4x+3<23 \\ \text-4x<20 \\ x< \text-5 \end{align}[/math][br][br]Describe the error that she made.

Write an inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of this week to walk more than 70,000 steps. Remember to define any variables that you use.

If the mean number of steps Diego walks during the last 3 days of the week is 12,642, will Diego reach his goal of walking more that 70,000 steps this week?

[list][*]the mean is 41 inches[/*][*]the median is 39 inches[/*][*]the standard deviation is about 9.6 inches[/*][*]the IQR is 5.5 inches[/*][/list]How does each statistic change if the length of the jumps are measured in feet instead of inches?

[math]\begin{cases} 3y+7=5x \\ 7x-3y=1 \\ \end{cases}[/math]

[math]\begin{cases} 5x+14y=\text-5 \\ \text-3x+10y=72 \\ \end{cases}[/math]

[math]\begin{cases}20x-5y=289 \\ 22x + 9y=257 \\ \end{cases}[/math]

[math]\begin{cases} 8x+15y=58 \\ 12x-9y=150 \end{cases}[/math][br][size=150][br]Noah multiplies the first equation by 12 and the second equation by 8, which gives:[br][center][math]\displaystyle \begin{cases} 96x+180y=696 \\ 96x-72y=1,\!200 \\ \end{cases}[/math][/center]Lin says, “I know you can eliminate [math]x[/math] by doing that and then subtracting the second equation from the first, but I can use smaller numbers. Instead of what you did, try multiplying the first equation by 6 and the second equation by 4."[/size][br][br]Do you agree with Lin that her approach also works? Explain your reasoning.[br]

What are the smallest whole-number factors by which you can multiply the equations in order to eliminate [math]x[/math]?[br]

[size=150]What is the solution set of the inequality [math]\frac{x+2}{2}\ge-7-\frac{x}{2}[/math]?[/size]