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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 $(3x+1)^{2}+(4x-1)^{2}<(5x+2)^{2}.$
 $x<-11$ $x>11$ $x>-\dfrac{1}{11}$ $x<-\dfrac{1}{11}$