Lesson 15: Efficiently Solving Inequalities | Unit 6: Expressions, Equations, and Inequalities

Multiple Choice

Consider the inequality $$-1 \leq \frac{x}{2}$$ . Predict which values of $$x$$ will make the inequality true.

• x < -2
• x = -1
• x ≤ -3
• x ≥ -2

Multiple Choice

Consider the inequality $$-1 \leq \frac{x}{2}$$ . Which values of x will make the inequality true?

• x ≥ -2
• x < -2
• x = -3
• x ≤ -1

Multiple Choice

Consider the inequality $$1 \leq \frac {\text{-}x}{2}$$ . Predict which values of $$x$$ will make it true.

• x ≤ -3
• x ≥ -2
• x = -1
• x < -2

Multiple Choice

Consider the inequality $$1 \leq \frac {\text{-}x}{2}$$ . Which values of x will make it true?

• x = -3
• x < -2
• x ≤ -4
• x ≥ -2

Multiple Choice

Diego is solving the inequality $$100-3x \ge -50$$ . First, he solves the equation $$100-3x = -50$$ and gets $$x=50$$ . Which inequality represents all the solutions for $$100-3x \ge -50$$ ?

• $$x < 50$$

• $$x \le 50$$

• $$x > 50$$

• $$x \ge 50$$

Multiple Choice

What is the solution to the inequality $$-5(x-1)>-40$$ ?

• x < 5
• x > 9
• x < 9
• x = 9

Multiple Choice

For the inequality $$-24>-6(x-0.5)$$ , decide whether the solution is represented by $$x < 4.5$$ or $$x > 4.5$$ .

• x < 4.5

• x > 4.5

Multiple Choice

For the inequality $$-8x + 6 > -30$$ , decide whether the solution is represented by $$x < 4.5$$ or $$x > 4.5$$ .

• x < 4.5

• x > 4.5

Multiple Choice

For the inequality $$-2(x + 3.2) < -15.4$$ , decide whether the solution is represented by $$x < 4.5$$ or $$x > 4.5$$ .

• $$x < 4.5$$

• $$x > 4.5$$