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  • Linear inequalities
  • Solving linear equations and inequalities
  • Solving linear inequalities involving brackets

Solving linear inequalities involving brackets

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  • Question 1:
    1 pts
    		Solve inequality $5(x-3)<45$

    $x<6$

    $x>6$

    $x<12$

    $x>12$

  • Question 2:
    1 pts
    		Solve inequality $5-(3a-2)<-2$
    $x\in (-\infty,-3)$
    $x\in (-3, +3)$
    $x\in (-\infty,3)$
    $x\in (3, +\infty)$
  • Question 3:
    1 pts
    		Solve inequality $-x-(-5)\leq 12$
  • Question 4:
    1 pts
    		$1$ is a solution to the inequality $3(x + 2) < 4x + 5.$
  • Question 5:
    2 pts
    		Solve inequality $4x-6>-2(3-2x)$
  • Question 6:
    2 pts
    		Solve inequality $3-3\cdot (x-2)<5-2\cdot (8-x).$
    $x<\dfrac{1}{4}$
    $x>-\dfrac{1}{4}$
    $x>4$
    $x<4$
  • Question 7:
    2 pts
    		Solve inequality $3\cdot(2x+3)-2\cdot (4x-1)\leq -1$

    $x\geq -6$

    $x\geq 6$

    $x\leq 6$

    $x\leq -6$

  • Question 8:
    2 pts
    		Solve inequality $x\cdot (x-4)-x^{2}+3>7$
  • Question 9:
    3 pts
    		Solve inequality $x \cdot (3-x)+2>1-x^{2}$
    $x<-\dfrac{1}{3}$
    $x<\dfrac{1}{3}$
    $x>-\dfrac{1}{3}$
    $x>\dfrac{1}{3}$
  • Question 10:
    3 pts
    		Solve inequality $(x-1)(x-4)-6x\leq x(x-3)+2$

    $x\geq \dfrac{1}{2}$

    $x\geq -\dfrac{1}{2}$

    $x\geq \dfrac{1}{4}$

    $x\geq -\dfrac{1}{4}$

  • Question 11:
    3 pts
    		Solve inequality $(x-2)^{2}-(x-3)(x+3)\geq 0$ in the set of natural numbers.
  • Question 12:
    3 pts
    		Solve inequality $(3x+1)^{2}+(4x-1)^{2}<(5x+2)^{2}.$
    $x<-11$
    $x>11$
    $x>-\dfrac{1}{11}$
    $x<-\dfrac{1}{11}$

Linear equations

Linear inequalities

Graphing functions