Compound Inequality Number Line

Graph the compound inequality x > 2 and x < 7 on a number line.

• The correct graph of the compound inequality x > 2 and x < 7 on a number line is a line segment between 2 and 7 with open circles at both points.

• The correct graph of the compound inequality x > 2 and x < 7 on a number line is a line segment between 1 and 8 with closed circles at both points.

• The correct graph of the compound inequality x > 2 and x < 7 on a number line is a line segment between 3 and 6 with open circles at both points.

• The correct graph of the compound inequality x > 2 and x < 7 on a number line is a line segment between 2 and 7 with closed circles at both points.

Graph the compound inequality -2 ≤ x < 3 on a number line.

• The correct graph on the number line shows an open circle at -2, an open circle at 3, and a line between them to represent all the values of x that satisfy the inequality

• The correct graph on the number line shows a closed circle at -2, a closed circle at 3, and a line between them to represent all the values of x that satisfy the inequality

• The correct graph on the number line shows a closed circle at -2, an open circle at 3, and a line between them to represent all the values of x that satisfy the inequality.

• Graph the compound inequality -2 < x < 3 on a number line

Graph the compound inequality x ≤ -3 or x > 4 on a number line.

• The correct graph on the number line would show a closed circle at -3 with shading to the left, and an open circle at 4 with shading to the right.

• The correct graph on the number line would show a closed circle at -3 with shading to the right, and an open circle at 4 with shading to the left.

• The correct graph on the number line would show a closed circle at -3 with shading to the right, and an open circle at 4 with no shading.

• The correct graph on the number line would show a closed circle at -3 with no shading, and an open circle at 4 with shading to the right.

Graph the compound inequality -1 < x ≤ 4 or x > 6 on a number line.

• The correct graph of the compound inequality -1 < x ≤ 4 or x > 6 on a number line is a shaded region between -1 and 4 with closed circles at -1 and 4, and a shaded region to the right of 6 with an open circle at 6.

• The correct graph of the compound inequality -1 < x ≤ 4 or x > 6 on a number line is a shaded region between -1 and 4 with open circles at -1 and 4, and a shaded region to the right of 6 with an open circle at 6.

• The correct graph of the compound inequality -1 < x ≤ 4 or x > 6 on a number line is a shaded region between -1 and 4 with open circles at -1 and 4, and a shaded region to the left of 6 with an open circle at 6.

• The correct graph of the compound inequality -1 < x ≤ 4 or x > 6 on a number line is a shaded region between 0 and 4 with open circles at 0 and 4, and a shaded region to the right of 6 with an open circle at 6.

Translate the verbal description 'The value of x is between -5 and 8' into a compound inequality.

• -5 < x < 8

• -5 ≤ x ≤ 8

• -5 ≤ x < 8

• -5 < x ≤ 8

Translate the verbal description 'The value of x is at least -3 and at most 5' into a compound inequality.

• -3 ≤ x ≤ 5

• -3 ≤ x ≤ 4

• -3 ≤ x < 5

• -3 < x < 5

Graph the compound inequality x < -2 or x ≥ 3 on a number line.

• The correct graph of the compound inequality x < -2 or x ≥ 3 on a number line is a shaded region to the left of -2 and a shaded region to the left of 3, with open circle at -2 and closed circle at 3.

• The correct graph of the compound inequality x < -2 or x ≥ 3 on a number line is a shaded region to the left of -2 and a shaded region to the right of 3, with open circle at -2 and closed circle at 3.

• The correct graph of the compound inequality x < -2 or x ≥ 3 on a number line is a shaded region to the right of -2 and a shaded region to the right of 3, with open circle at -2 and closed circle at 3.

• The correct graph of the compound inequality x < -2 or x ≥ 3 on a number line is a shaded region to the left of 2 and a shaded region to the right of 3, with open circle at -2 and closed circle at 3.

Translate the verbal description 'The value of x is greater than 4 or less than -2' into a compound inequality.

• x > 4 or x < -2

• x > 4 and x < -2

• x > 4 and x > -2

• x < 4 or x > -2

Translate the verbal description 'The value of x is not equal to 2 and is less than 7' into a compound inequality.

• x ≠ 2 and x < 7

• x = 2 and x < 7

• x ≠ 2 or x < 7

• x = 2 and x > 7

Two inequalities either joined by the word "and" or by the word "or"

• Compound Inequality

• Graph of an Inequality

• Conjunction

• Disjunction