Question

Solve each inequality, graph the solution, and write the solution in interval notation

Answer 1

Answer: $\frac{5}{4}\leq x\leq 2$

Step-by-step explanation:

Given :

5 ≤ 4x− 1 < 7

the equation could be spitted into 2

1. $5\leq 4x$

ii. $4x - 1$

solving them separately , we have

$5\leq 4x$

divide through by 4

$\frac{5}{4}\leq x$

solving (ii) we have

$4x - 1$

add 1 to both sides

$4x < 7 + 1$

$4x < 8$

$x$

combining the solutions , we have $\frac{5}{4}\leq x\leq 2$