Linear inequalities

Which of the following is not a linear inequality?

• >

• <

• =

• ≥

The following are the linear inequalities EXCEPT?

• 3𝑥−12>12

• 19=𝑦

• 13𝑥+6<10−7𝑦

• 𝑥+3𝑦<7

Translate "The sum of 20-peso bills (t) and fifty-peso bills (f) is greater than Php 420."

• 20t + 50f > 420

• 20t + 50f < 420

Which of the following is a linear inequality in two variables? Check all the possible answers.

• 3𝑥−12>12

• 13𝑥+6<10−7𝑦

• 9(𝑥−2)<15

Which of the following is a linear inequality in two variables?

• 𝑥 + 𝑦 = 2

• 𝑥 + 5 > 8

• 3𝑚 + 5𝑛 < 10

• 3𝑞 – 2𝑞 ≠ 6

Which of the following inequalities illustrate “the sum of 𝑥 and 𝑦 is at most 15”?

• 𝑥 + 𝑦 = 15

• 𝑥 + 𝑦 > 15

• 𝑥 + 𝑦 ≤ 15

• 𝑥 + 𝑦 ≥ 15

To graph 2𝑥 + 𝑦 ≥ 4, we begin by graphing the boundary line of the inequality, what is the slope (m) and y-intercept (b) of the inequality?

• 𝑚 = −2, 𝑏 = −1

• 𝑚 = −2, 𝑏 = 4

• 𝑚 = 2, 𝑏 = −4

• 𝑚 = 2, 𝑏 = −1

How many solutions can a system of linear inequalities have?

• One solution

• Infinite solutions

• Two solutions

• No solution

Which method can be used to solve a system of linear inequalities?

• Substitution

• Graphing

• Elimination

• All of the above