Question

What is 2x – 3 < 7 and 5 – x ≤ 8?

Answer 1

Answer:

$\begin{bmatrix}x$

Step-by-step explanation:

$2x -3 < 7 \\ 5 - x \leq 8\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:2x-3$

Answer 2

Answer:

Result for Inequality expression 1:

$x < 5$

Result for Inequality expression 2:

$x \geq -3$

Step-by-step explanation:

-Inequality expression 1:

$2x - 3 < 7$

-Inequality expression 2:

$5 - x \leq 8$

-Solve inequality expression 1:

$2x - 3 < 7$

$2x - 3 + 3 < 7 + 3$

$2x < 10$

$\frac{2x}{2} < \frac{10}{2}$

$\boxed {x < 5}$

-Solve inequality expression 2:

$5 - x \leq 8$

$5 - 5 - x \leq 8 - 5$

$- x \leq 3$

$\frac{-x}{-1} \leq \frac{3}{-1}$

$\boxed {x \geq -3}$ (inequality sin changed by divide by a negative integer or variable)