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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 $x\in (-\infty, -12].$ $$-\dfrac{2}{5}\left(x+1\right)+\dfrac{1}{2}\left(x-4\right)\geq \dfrac{3}{10}x$$