Download Object of the day: stairs

Bellringer:
Write the mathematical symbols for each of the following:
a. Less than
c.
Greater than
b. Less than or equal to
d.
Greater than or equal to
Section 1.6 Solving Linear Inequalities
Goals:
1. Solve simple inequalities
2. Solve compound inequalities
Practice: Solve the inequality. Then graph the solution on the number line provided.
1.) x + 9 < 19
3.)
x
 14
6
5.) 5x – 10 > 15
2.) –15 < x – 5
4.) 9x < –27
6.) –6(x + 8) < 18
7.) 0 < x – 7 < 11
8.) 15 > 11x – 7 > 4
9.) x – 4 < –6 or x + 2 > 5
10.) x + 3 > 7 or 6x < –24
Practice: Solve the inequalities. Then determine whether the given value of x is a solution
of the inequality. Write yes or no.
1.) x – 6 < 4 or 2x > 24; x = 2
2.) –3x > 6 or 2x + 3 > 5; x = 0
Practice: Write an inequality that represents the statement. Then graph the solution on the
number line provided.
1.) x is less than 8 and greater than 2
2.) x is greater than 9 or less than –4
Practice: Write a compound inequality that describes the graph.
1.)
2.)
Real-Life Application Practice:
1.) You have $80 and are going to Dershey Park. You spend $50 for the entrance fee
and $15 for food. You want to play a game that costs $1.50. Write and solve an
inequality to find the possible numbers of times you can play the game. If you
play the game the maximum number of times, will you have spent the entire $80?
2.) An international standard for scientific temperature measurement is the Kelvin
scale. A Kelvin temperature can be obtained by adding 273.15 to a Celsius
temperature. The daytime temperature on Mars ranges from –89.150C to –
31.150C.
a. Write the daytime temperature range on Mars as a compound inequality in
degrees Celsius.
b. Rewrite the compound inequality in degrees Kelvin.
3.) Your salary is $1,250 per week and you receive a 5% commission on your sales
each week. What are the possible amounts (in dollars) that you can sell each week
to earn at least $1,500 per week?