Algebra two; Solving Absolute Equations

Question

Before an election, a company conducts a telephone survey of likely voters. Bases on their survey data, the polling company states that an amendment to the state constitution is supported than 59% of the state's residents and that 41% of the states residents do not approve of the admendment. According to the company, the results of their survey have a margin error of 3%. Write and solve an equation describing the maximum and minimun percent of the state's residents that support the amendment.

Answer 1

Absvalue(x - 59) <= 3.  This leads to a compound inequality with intersection.

 

-3 <= x - 59 <= 3    Now add 59 to each part of the inequality

 

56<= x <= 62 

 

the he percentage of residents who support the amendment is between 56 and 62 percent inclusive.

 

i hope this helps you.

 

Wyatt