Due today

which shows this inequality graphed on a number line? -2x + 3 < 5

a

b

c

d

Solve for x to get...

-2x + 3 < 5

-2x + 3-3 < 5-3 ... subtract 3 from both sides

-2x < 2

-2x/(-2) > 2/(-2) divide both sides by -2; inequality sign flips

x > -1

Note the inequality sign flipped because we divided both sides by a negative number.

The graph will be a number line with an open circle at -1 saying to the reader "do not include this value in the shaded region solution set". The shading is to the right to indicate all of the values larger than -1 (such as 0 or 2 or 10). There are infinitely many values in the solution set.

The population of the town will be 86,000 in 2015.

Explanation: Between 1950 and 2010 (60 years) , the population rose by 36,000. To find out how much the pop. rose each year, we divide 36,000 by 60 (the amount of years) and get 600. Between 2010 and 2015 there are 5 years. 5x600 = 3,000. 3,000 + 83,000 (population in 2010) is 86,000.