Understand the inequality: Understand the inequality. We are given 4x >= 32, which means we are looking for all values of x that make the expression 4 times x greater than or equal to 32. Isolate the variable x: Isolate the variable x by dividing both sides of the inequality by 4, the coefficient of x. This will give us x >= 32 / 4. Perform the division: Perform the division on the right side of the inequality. 32 divided by 4 equals 8, so we have x >= 8. Check the solution: Check the solution. If we substitute x with 8, we get 4 * 8, which equals 32. Since 32 is equal to 32, the inequality holds true. If we substitute x with a number greater than 8, the result will be greater than 32, which also satisfies the inequality.

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$4 x \geq 32$

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Grade 6

Add, subtract, multiply, or divide two integers

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4 x \geq 32

Understand the inequality: Understand the inequality. We are given $4x \geq 32$ , which means we are looking for all values of $x$ that make the expression $4$ times $x$ greater than or equal to $32$ .
Isolate the variable $x$ : Isolate the variable $x$ by dividing both sides of the inequality by $4$ , the coefficient of $x$ . This will give us $x \geq \frac{32}{4}$ .
Perform the division: Perform the division on the right side of the inequality. $32 \div 4 = 8$ , so we have $x \geq 8$ .
Check the solution: Check the solution. If we substitute $x$ with $8$ , we get $4 \times 8$ , which equals $32$ . Since $32$ is equal to $32$ , the inequality holds true. If we substitute $x$ with a number greater than $8$ , the result will be greater than $32$ , which also satisfies the inequality.