Solving Linear Inequalities

6 Activities

Wize High School Grade 11 Math Textbook > Inequalities

8 Activities

Wize High School Algebra I Textbook (Common Core) > Linear Inequalities in 2 Variables

4 Activities

Practice: Solving Linear Inequalities

For each inequality, determine if x=2x=2x=2 is a solution. 

A) 9+4x≤5x+19+4x\leq{}5x+19+4x≤5x+1 

B) 52x+3>43x−1\dfrac{5}{2}x+3>\dfrac{4}{3}x-125​x+3>34​x−1 

C)  8x+13<7x−168x+13<7x-168x+13<7x−16 

D) −2(3x−5)−3≥3(1−4x)+7-2(3x-5)-3\geq{}3(1-4x)+7−2(3x−5)−3≥3(1−4x)+7 

E) 87x+3>59x−1\dfrac{8}{7}x+3>\dfrac{5}{9}x-178​x+3>95​x−1 

F) 4x+7<112x+34x+7<\dfrac{11}{2}x+34x+7<211​x+3 

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Practice: Solving Linear Inequalities
Solve ∣2x+3∣<10x−7|2x+3|<10x-7∣2x+3∣<10x−7. Express the answer in interval notation. 

Practice: Solving Linear Inequalities
Solve ∣x+3∣≥5|x+3|\geq{}5∣x+3∣≥5. Express the answer in interval notation. 

Practice: Solving Linear Inequalities
Solve 1≤−35(25x+10)+9≤151\leq{}-\dfrac{3}{5}(25x+10)+9\leq{}151≤−53​(25x+10)+9≤15 for x.x.x.

Practice: Solving Linear Inequalities
Solve −2≤−4(x+3)≤7-2\leq{}-4(x+3)\leq{}7−2≤−4(x+3)≤7 for x.x.x.

Practice: Solving Linear Inequalities
For each inequality, determine if x=1x=1x=1 is a solution. 

Practice: Solving Linear Inequalities
For each inequality, determine if x=1x=1x=1 is a solution. 

Practice: Solving Linear Inequalities
For each inequality, determine if x=1x=1x=1 is a solution. 

Practice: Solving Linear Inequalities