Solve the inequalities-12-4-dfrac-3x-5-le 2

Question

Toppr Admin · Accepted Answer

-x2212-12-lt-4-3x5-x2264-2-x2212-12-x2212-4-lt-3x5-x2264-2-x2212-4-x2212-16-xD7-5-lt-3x-x2264-x2212-2-xD7-5-x2212-803-lt-x-x2264-x2212-103-xA0-x2234-x-x2208-x2212-803-x2212-103-

Solve the inequalities
$- 12 < 4 + \frac{3 x}{5} \leq 2$

$- 12 < 4 + \frac{3 x}{5} \leq 2$

$- 12 - 4 < \frac{3 x}{5} \leq 2 - 4$

$- 16 \times 5 < 3 x \leq - 2 \times 5$

$\frac{- 80}{3} < x \leq \frac{- 10}{3}$

$∴ x \in (\frac{- 80}{3}, \frac{- 10}{3}]$

Solve the inequalities−12<4+3x5≤2

−12<4+3x5≤2−12−4<3x5≤2−4−16×5<3x≤−2×5−803<x≤−103 ∴x∈(−803,−103]

Solve the inequalities
$- 12 < 4 + \frac{3 x}{5} \leq 2$

$- 12 < 4 + \frac{3 x}{5} \leq 2$

$- 12 - 4 < \frac{3 x}{5} \leq 2 - 4$

$- 16 \times 5 < 3 x \leq - 2 \times 5$

$\frac{- 80}{3} < x \leq \frac{- 10}{3}$

$∴ x \in (\frac{- 80}{3}, \frac{- 10}{3}]$