Solve the following questions on linear inequalities involving fractional and decimal…

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Solve the following questions on linear inequalities involving fractional and decimal coefficients. (i) Solve 0.6y−2.4≤−0.90.6y-2.4\le -0.9 and express the solution set in interval notation. (ii) For the inequality 3z5−710>0\dfrac{3z}{5}-\dfrac{7}{10}>0, find the least integral value of zz that satisfies the inequality. (iii) Verify whether z=3z=3 satisfies the inequality in part (ii) and justify your answer by direct substitution.

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