Linear Inequality in One Variable - SS2 Mathematics Past Questions and Answers - page 1

Solve the inequalities below:

$\frac{x}{2} - 2 \geq \frac{2 x}{5} + \frac{1}{4}$

x \geq \frac{45}{2}

x \leq \frac{45}{2}

x > \frac{45}{2}

x < \frac{45}{2}

Answer & Comments

correct option: a

Multiply each by the LCM of the denominators $2, 5, 4 = 20$

$10 x - 40 \geq 8 x + 5$

$10 x - 8 x \geq 40 + 5$

$2 x \geq 45$

$x \geq \frac{45}{2}$

Users' Answers & Comments

Solve the inequalities below:

$5 (x + 1) \leq 4 x + 1$

x \leq - 4

x \geq - 4

x < - 4

x > - 4

Answer & Comments

correct option: a

$5 (x + 1) \leq 4 x + 1$

$5 x + 5 \leq 4 x + 1$

$5 x - 4 x \leq 1 - 5$

$x \leq - 4$

Users' Answers & Comments

$\frac{x - 1}{2} - \frac{x}{3} ≮ - \frac{1}{2} (H i n t : ≮ i s \geq)$

Answer & Comments

$\frac{x - 1}{2} - \frac{x}{3} ≮ - \frac{1}{2}$

$\frac{x - 1}{2} - \frac{x}{3} \geq - \frac{1}{2}$

$3 (x - 1) - 2 x \geq - 3$

$3 x - 3 - 2 x \geq - 3$

$x - 3 \geq - 3$

$x \geq - 3 + 3$

$x \geq 0$

Users' Answers & Comments

$x \leq 4 x + 15$

Answer & Comments

$x \leq 4 x + 15$

$x - 4 x \leq 15$

$- 3 x \leq 15$

$x \geq \frac{15}{- 3}$

$x \geq - 5$

Users' Answers & Comments

$\frac{3 x - 1}{x + 2} > 2$

Answer & Comments

$\frac{3 x - 1}{x + 2} - 2 > 0$

$3 x - 1 - (x + 2) > 0$

$3 x - 1 - x - 2 > 0$

$2 x - 3 > 0$

$2 x > 3$

$x > \frac{3}{2}$

Users' Answers & Comments

Linear Inequality in One Variable - SS2 Mathematics Past Questions and Answers - page 1

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