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• Linear inequalities
• Solving linear equations and inequalities
• Solving inequalities with fractions and decimals

# Solving inequalities with fractions and decimals

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•  Question 1: 1 pts Solve inequality $z -1 \leq - 0.16$
 $z\geq 0.82$ $z\geq 0.84$ $z\leq 0.82$ $z\leq 0.84$
•  Question 2: 1 pts Solve inequality $-0.17x+1.93<2.457$
 $x>-3.1$ $x<-3.1$ $x>3.1$ $x<3.1$
•  Question 3: 1 pts Solve inequality $-\dfrac{1}{3}+2x\geq -3$
•  Question 4: 1 pts Solve inequality $-0.5-(z+\dfrac{3}{10})>-0.2$
 $z>0.6$ $z>-0.6$ $z<0.6$ $z<-0.6$
•  Question 5: 2 pts Solve inequality $\dfrac{5-2x}{3}-1 < x$
•  Question 6: 2 pts Solve inequality $\dfrac{1-x}{3}+0.5<\dfrac{2x-1}{2}$
 $x>-1$ $x<-1$ $x>1$ $x<1$
•  Question 7: 2 pts Solve inequality $2x+6>\dfrac{3x-1}{5}-\dfrac{7-x}{3}$
 $x>8$ $x>8$ $x>-8$ $x<-8$
•  Question 8: 2 pts Solve inequality $-1<\dfrac{2x+1}{5}<3$
 $x\in (-7,7)$ $x\in (-7,3)$ $x\in (-3,7)$ $x\in (-3,3)$
•  Question 9: 3 pts Solve inequality $1-\dfrac{a-3}{4}<1.75-\dfrac{1}{4}a.$
•  Question 10: 3 pts Solve inequality $-2+ \dfrac{1}{x}\leq - \dfrac{1}{2}$
 $x \in (-\infty,0)\cup \left(\dfrac{2}{3},+\infty\right)$ $x \in (-\infty,0)\cup \left[\dfrac{2}{3},+\infty\right)$ $x \in (-\infty,0)$ $x \in \left[\dfrac{2}{3},+\infty\right)$
•  Question 11: 3 pts Solve inequality $\dfrac{3x-1}{4}+ \dfrac{8-4x}{3}\leq -3-x.$
•  Question 12: 3 pts The solution of qiven inequality is $x\in (-\infty, -12].$ $$-\dfrac{2}{5}\left(x+1\right)+\dfrac{1}{2}\left(x-4\right)\geq \dfrac{3}{10}x$$