Answer: [tex]\frac{5}{4}\leq x\leq 2[/tex]
Step-by-step explanation:
Given :
5 ≤ 4x− 1 < 7
the equation could be spitted into 2
1. [tex]5\leq 4x[/tex]
ii. [tex]4x - 1 <7[/tex]
solving them separately , we have
[tex]5\leq 4x[/tex]
divide through by 4
[tex]\frac{5}{4}\leq x[/tex]
solving (ii) we have
[tex]4x - 1 <7[/tex]
add 1 to both sides
[tex]4x < 7 + 1[/tex]
[tex]4x < 8[/tex]
[tex]x<2[/tex]
combining the solutions , we have [tex]\frac{5}{4}\leq x\leq 2[/tex]
