Solve the inequalities for real x: frac{5-3x} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given inequality: $\frac{5-3x}{3} \leq \frac{x}{6}-5$. Multiply the entire inequality by $6$ to clear the denominators: $2(5-3x) \leq x - 30$. Exp

Vedclass · Accepted Answer

$x \in [\frac{40}{7}, \infty)$

Vedclass · Answer

(A) Given inequality: $\frac{5-3x}{3} \leq \frac{x}{6}-5$. Multiply the entire inequality by $6$ to clear the denominators: $2(5-3x) \leq x - 30$. Expand the terms: $10 - 6x \leq x - 30$. Rearrange the terms to isolate $x$: $10 + 30 \leq x + 6x$. $40 \leq 7x$. Divide by $7$: $x \geq \frac{40}{7}$. Thus,the solution set is $x \in [\frac{40}{7}, \infty)$.

Solve the inequalities for real $x$: $\frac{5-3x}{3} \leq \frac{x}{6}-5$.

Similar Questions

The shaded region given in the figure represents the $\ldots \ldots \ldots$ inequality.

The inequality to represent the coloured region in the figure is:

Solve the given inequality graphically in a two-dimensional plane: $y < -2$

Solve $3x + 2y > 6$ graphically.

Solve the following inequality graphically in a two-dimensional plane: $2x + y > 3$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module