Question

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.
Mikey knows that the inequality representing this situation is 112+x≤260.

Select from the drop-down menu to correctly interpret the solution of this inequality.

Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148

Answer 1

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

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