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Solve the inequality 22+7<5 and −10+2x<−2.

a) x>17 and x>4
b) x>17 and x<6
c) x<17 and x>6
d) x<17 and x<6

User PtQa
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1 Answer

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Final answer:

To solve 22+7<5, simplify the expression on the left side. For −10+2x<−2, isolate x by dividing both sides of the inequality by 2. The solution is x<4.

Step-by-step explanation:

To solve the inequality 22+7<5, we need to simplify the expression on the left side of the inequality:

22+7<5 becomes 29<5.

This is a false statement since 29 is not less than 5, so there is no solution for this inequality.

For the inequality −10+2x<−2, we can solve it step by step:

−10+2x<−2 becomes 2x<-2+10 which simplifies to 2x<8.

To isolate x, we divide both sides of the inequality by 2:

2x/2<8/2 which simplifies to x<4.

Therefore, the solution to the second inequality is x<4.

The answer is d) x<17 and x<6.

User EarlyRiser
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