Question

Linear Equations and Inequalities

Translating a sentence into a compound inequality
Write the following as an inequality.
6 is greater than x, and -2 is less than or equal to x
Use x only once in your inequality.
*
0>0
020
S

Answer 1

To write the given sentence as a compound inequality, we can use the inequality symbols to express the relationships between the given numbers and the variable x. The compound inequality for the given sentence is -2 ≤ x ≤ 6.

Step-by-step explanation:

To write the given sentence as a compound inequality, we can use the inequality symbols to express the relationships between the given numbers and the variable x. The sentence '6 is greater than x' can be written as 6 > x, and the sentence '-2 is less than or equal to x' can be written as -2 ≤ x. To combine these two inequalities into one compound inequality, we can use the 'and' statement. Therefore, the compound inequality for the given sentence is -2 ≤ x ≤ 6.

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