Solving/interpreting linear inequalities in one variable

Solve the compound inequality, write in Set Builder Notation:
y–3≥ -11 AND y–3 ≤ -8 

• { y | y ≥ 3}
• {y | -8 ≤ y ≤ -5}
• { y | y ≥ -8 and y ≥ -5}
• {y ≥ -11}

Solve this inequality

• $-9\ \le\ x$

• $9\ \le\ x$

• $9\ge x$

• $-9\ \ge\ x$

If you have to be a minimum of 48 inches to ride the roller coaster, Which of the following are possible solutions?

• 48

• 46

• 50

• 52

• 47.9

Find the solution.

• X ≤ 10

• X > 2

• X ≥ 10

• X ≤ 6.5

What symbol means at least?

• <

• >

Which symbol is used to represent 'equal to' in an inequality?

• <

• >

• =

• ≥

PLOT TWIST: Do you use highlighters to help you breakdown the inequality per expression to write an inequality?

• Always, it helps me separate the 2 topics.

• Sometimes, if I'm showing my best efforts.

• No, I'm consistently correct without the use of highlighters.

What is the solution and is it strict or weak?

• 28.00

• 28.33

• strict

• weak

Solve:

3x + 2 < -7 or -4x + 5 < 1

• All real numbers

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1