Write an Inequality to Represent a Constraint or Condition

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Grade 6·21 problems·~35 min·Common Core Math - Grade 6·standard·6-ee-b-8

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Recall / Warm-Up

Which inequality symbol means 'is greater than'?

≤

Which number is greater: −2 or 1?

−2, because it is farther from zero.

1, because it is to the right of −2 on a number line.

−2, because negative numbers are larger than positive.

They are equal.

On a number line, which direction do larger numbers appear?

To the left.

To the right.

In the middle.

Above zero.

Fluency Practice

A box is shorter than 6 inches. Let $h$ represent the height. Which inequality represents this constraint?

$h > 6$

$h = 6$

$h < 6$

$6 < h$

You must score more than 80 points to pass. Let $s$ represent your score. Which inequality represents this requirement?

$s < 80$

$s = 80$

$s > 80$

$80 > s$

The temperature is colder than −10°C. Let $t$ represent the temperature. Which inequality is correct?

$t > -10$

$t < -10$

$t = -10$

$t > 10$

Which of the following values satisfies the inequality $x > 5$ ?

$x = 3$

$x = 5$

$x = 5.1$

$x = 0$

For the inequality $n < 3$ , how many values satisfy it?

Exactly 2 values, as if only two numbers could ever be less than 3.

Exactly 3 values (0, 1, 2), counting only the whole numbers from 0 up to but not including 3.

Infinitely many values — all numbers less than 3.

Only the integer values less than 3, ignoring the fractions and decimals that also satisfy it.

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