Solve Non-Linear Value Inequalities

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

What are the solutions to the inequality?

Mathematical Equivalence

ON

What is the solution set for the inequality
 log (2x – 1) < log (5 – 3x)? 

•  $\frac{1}{2}<x\ <\frac{4}{5}$  

Solve the inequality 4^(3x-2) < 64.

• x < 5/3

• x = 5/3

• x > 5/3

• x > 2

Solve 5 + e^-x > 14

• x < -2.1972

• x > -2.1972

• x < 3.4510

• x > 3.4510

Find the solution set for the inequality 6^(2x+1) > 216.

• x = 1

• x > 2

• x < 1

• x > 1

For what values of x is the exponential function greater than the linear function?

• When x is less than 0

• When x is between 0 and 3

• When x is greater than 3

• When x is less than 1

Determine the values of x that satisfy the inequality 9^(x+1) ≥ 81.

• x > 9

• x = 0

• x ≤ 1

• x ≥ 1

Solve: f(x)≥0

• (0,∞)

• (-∞,0)

• [0,∞)

• (-∞,0]

Which of the following is the solution of the given Quadratic Inequality?

• b ≥ -2 or b ≤ -1

• b ≤ -2 or b ≥ -1

• b ≥ 2 or b ≤ 1

• b ≤ 2 or b ≥ 1