Gr 10 Math Ch 2: Solving Linear Inequalities

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Questions and Answers

What is the result of dividing both sides of the inequality $8 > 6$ by $-2$?

  • $-4 < -3$ (correct)
  • $4 < 3$
  • $4 > 3$
  • $-4 > -3$

Which of the following is an example of a linear inequality?

  • $2x + 2 = 1$
  • $2 - x eq 3$
  • $2x + 2 imezone{<} 1$ (correct)
  • $ rac{3x + 1}{2} eq 4$

What must be done to the inequality sign when multiplying or dividing both sides by a negative number?

  • The inequality sign remains unchanged
  • The inequality sign is eliminated
  • The inequality sign is reversed (correct)
  • The inequality sign becomes positive

Which of the following inequalities is equivalent to $-4 > -3$ after division by $-2$?

<p>$8 &lt; 6$ (A)</p> Signup and view all the answers

What is the general form of a linear inequality?

<p>An expression where the largest exponent of the variable is 1 (B)</p> Signup and view all the answers

What is the relationship between linear equations and linear inequalities?

<p>They both have the largest exponent of variables equal to one. (B)</p> Signup and view all the answers

In the inequality $2x + 2 leq 1$, what is the first step to isolate x?

<p>Subtract 2 from both sides. (B)</p> Signup and view all the answers

Which of the following inequalities cannot be solved without changing the direction of the inequality sign?

<p>$-4x &gt; 16$ multiplied by -1. (C)</p> Signup and view all the answers

What would be the correct form of the inequality after simplifying $2 - x geq 3$?

<p>$x geq -1$ (A)</p> Signup and view all the answers

What is the outcome of the expression $4 - 6 < 7x + 2$ when simplified?

<p>$-2 &lt; 7x + 2$ (D)</p> Signup and view all the answers

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