Option C is the correct answer. x<2 or x ≥ 7.5
What are linear inequalities ?
Inequality occurs when a non equal comparison is made.linear inequities is comparing non equal linear quantities.linear defines the expression has highest degree of 1.
In the given question
2(2x - 1) +7 <13 or -2x + 5 < -10
2(2x -1) +7 <13
4x - 2 + 7 < 13
4x - 2 + 7 -13 < 0
4x -8 < 0
4x < 8
x < 8/4
x<2
OR
-2x + 5 ≤ -10
- 2x + 5 + 10 ≤ 0
-2x + 15 ≤ 0
-2x ≤ -15 (think of making both side positive by
switching the values to the other side)
2x ≥ 15
x ≥ 7.5
x ≥ 7.5 represented by a closed circle including the point 7.5
x<2 is represented by an open circle not including the point 2.
Learn more about linear inequalities here :
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