Question

Many mechanics advised people not to drive their cars more than 5,000 miles between oil changes kaci has driven her car 3450 miles since the last oil change write and solve an inequality to find out how many more miles she might drive before having her oil changed again

Answer 1

See explanation!

Explanation:

We know that the maximum miles allowed before oil change is 5,000miles (thus Kaci can drive less or up to 5,000 miles but not more).

Kaci has already driven 3,450miles since last oil change.

Inequalities are typically employed to show a relating or comparative relationship between expressions and can be identified by the sybolism of less, more or/and equal to (i.e.
`<` ,
`>` ,
`\leq`,
`\geq` ).

Let us denote the miles Kaci can drive before oil changing again by
`x`, then we can write the following inequality:

`3450+x\leq 5000`

solving for the remaining miles
`x` allowed

`3450+x\leq 5000\\x\leq 5000-3450\\x\leq 1550`

Thus Kaci can drive up to and including 1550 miles before chaging car oil again.