Answer:
Option 2 50 ≤ s ≤ 100
Option 5 She could deposit $50
Option 6 She could deposit $75
Step-by-step explanation:
Let
s -----> amount of money Layla deposit into a saving account
we know that
25%=25/100=0.25
50%=50/100=0.50
so
[tex]s\geq 0.25*200[/tex] -----> [tex]s\geq \$50[/tex]
[tex]s\leq 0.50*200[/tex] -----> [tex]s\leq \$100[/tex]
The compound inequality is
[tex]\$50 \leq s\leq \$100[/tex]
Verify each case
case 1) 25 ≤ s ≤ 50
The statement is false
see the procedure
case 2) 50 ≤ s ≤ 100
The statement is True
see the procedure
case 3) s ≤ 25 or s ≥ 50
The statement is false
Because is s ≤ 100 and s ≥ 50
case 4) s ≤ 50 or s ≥ 100
The statement is false
Because is s ≤ 100 and s ≥ 50
case 5) She could deposit $50
The statement is true
Because the value of s satisfy the compound inequality [tex]\$50 \leq s\leq \$100[/tex]
case 6) She could deposit $75
The statement is true
Because the value of s satisfy the compound inequality [tex]\$50 \leq s\leq \$100[/tex]
